Probability: 1 mark Questions (CBSE Class 10)

Probability of getting an irrational number at random from the numbers $\sqrt{3},\sqrt{4},3\sqrt{9},3\sqrt{8},\sqrt{5},0,4^{\frac{3}{2}}$ is :

1. (A)0
2. (B)$\frac{4}{7}$
3. (C)$\frac{3}{7}$
4. (D)1

A card is drawn from a well shuffled deck of 52 cards. The probability of getting an ace or a ten is :

1. (A)$\frac{1}{13}$
2. (B)$\frac{2}{13}$
3. (C)$\frac{1}{26}$
4. (D)$\frac{4}{13}$

Assertion (A) : The probability of an event can not be $\frac{1}{0.9}$.
Reason (R) : $0\le P(E)\le 1$ for an event E.

1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
2. (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not correct explanation for Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

A card is drawn from a well shuffled deck of 52 cards. The probability that it is not a diamond card is :

1. (A)$\frac{1}{4}$
2. (B)0
3. (C)$\frac{1}{2}$
4. (D)$\frac{3}{4}$

The probability of getting sum greater than 10, when two dice are rolled together, is

1. (A)$\frac{1}{9}$
2. (B)$\frac{1}{18}$
3. (C)$\frac{1}{12}$
4. (D)1

A bag contains some red and some white balls. A ball is drawn at random from the bag. If the probability of getting a red ball is $\frac{2}{7}$, then the probability of getting a white ball is

1. (A)$\frac{1}{14}$
2. (B)$\frac{5}{7}$
3. (C)$\frac{1}{7}$
4. (D)$\frac{2}{7}$

A card is drawn from a well-shuffled deck of 52 playing cards. The probability of getting a queen of spade is

1. (A)$\frac{1}{26}$
2. (B)$\frac{1}{52}$
3. (C)0
4. (D)$\frac{1}{4}$

Three coins are tossed together. The probability of getting exactly two tails is

1. (A)$\frac{2}{8}$
2. (B)$\frac{1}{2}$
3. (C)$\frac{3}{8}$
4. (D)1

A die is thrown once. Probability of getting a number other than 3 is :

1. (A)$\frac{1}{6}$
2. (B)$\frac{3}{6}$
3. (C)$\frac{5}{6}$
4. (D)1

Assertion (A) : The probability that a leap year has 53 Mondays is $\frac{2}{7}$.
Reason (R) : The probability that a non-leap year has 53 Mondays is $\frac{5}{7}$.

1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

For an event E, $P(E)+P(\overline{E})=x$, then the value of $x^2-3$ is :

1. (A)$-2$
2. (B)2
3. (C)1
4. (D)$-1$

The probability for a randomly selected number out of 1, 2, 3, 4, ..., 25 to be a composite number is :

1. (A)$\frac{15}{25}$
2. (B)$\frac{10}{25}$
3. (C)$\frac{11}{25}$
4. (D)$\frac{9}{25}$

Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is :

1. (A)$\frac{1}{6}$
2. (B)$\frac{11}{36}$
3. (C)$\frac{1}{12}$
4. (D)$\frac{1}{4}$

Three coins are tossed together. The probability of getting exactly one head, is :

1. (A)$\frac{1}{8}$
2. (B)$\frac{3}{4}$
3. (C)$\frac{1}{2}$
4. (D)$\frac{3}{8}$

Two different dice are rolled together. The probability that both the obtained numbers are less than 4, is

1. (A)$\frac{2}{9}$
2. (B)$\frac{7}{36}$
3. (C)$\frac{1}{4}$
4. (D)$\frac{2}{3}$

Assertion (A) : If probability of happening of an event is 0.2p, $p>0$, then p can't be more than 5.
Reason (R) : $P(\overline{E})=1-P(E)$ for an event E.

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

Two dice are rolled together. The probability that sum of the numbers obtained is atmost 12, is

1. (A)1
2. (B)0
3. (C)$\frac{1}{2}$
4. (D)$\frac{35}{36}$

Which of the following can not be the probability of an event ?

1. (A)$\frac{39}{100}$
2. (B)$\frac{0.001}{20}$
3. (C)$\frac{10}{0.2}$
4. (D)10%

A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is either a ten or a king is

1. (A)$\frac{1}{26}$
2. (B)$\frac{2}{13}$
3. (C)$\frac{1}{13}$
4. (D)$\frac{8}{26}$

Meena calculates that the probability of her winning the first prize in a lottery is 0.08. If total 800 tickets were sold, the number of tickets bought by her, is

1. (A)64
2. (B)640
3. (C)100
4. (D)10

Two dice are rolled together. The probability of getting an outcome $(x,y)$ where $x>y$, is

1. (A)$\frac{5}{12}$
2. (B)$\frac{5}{6}$
3. (C)1
4. (D)0

In a random experiment of throwing a die, which of the following is a sure event ?

1. (A)Getting a number between 1 and 6
2. (B)Getting an odd number < 7
3. (C)Getting an even number < 7
4. (D)Getting a natural number < 7

A bag contains 3 red, 4 white and 7 green balls. A ball is drawn at random. The probability that the ball drawn is not of red colour is :

1. (A)$\frac{1}{11}$
2. (B)$\frac{3}{14}$
3. (C)$\frac{11}{14}$
4. (D)$\frac{3}{11}$

In an experiment of throwing a pair of dice, the probability of not getting a doublet is :

1. (A)$\frac{1}{6}$
2. (B)$\frac{5}{6}$
3. (C)$\frac{1}{5}$
4. (D)$\frac{1}{30}$

The total number of outcomes in the experiment of simultaneous throw of three dice is :

1. (A)$6$
2. (B)$18$
3. (C)$36$
4. (D)$216$

A pair of dice is thrown simultaneously. Let E denote the event that “The sum of numbers obtained on both dice is at least 9.” The number of outcomes in favour of event E is :

1. (A)4
2. (B)6
3. (C)10
4. (D)26

Three coins are tossed together. The probability that only one coin shows tail, is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{3}{8}$
3. (C)$\frac{7}{8}$
4. (D)1

A card is drawn at random from a well shuffled deck of 52 playing cards. The probability that drawn card shows number ‘9’ is :

1. (A)$\frac{1}{26}$
2. (B)$\frac{4}{13}$
3. (C)$\frac{1}{52}$
4. (D)$\frac{1}{13}$

Assertion (A) : If E is an event such that $P(E)=\frac{1}{999}$, then $P(\overline{E})=0.001$.
Reason (R) : $P(E)+P(\overline{E})=1$

1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

Two dice are rolled together. The probability that at least one of them shows a six, is :

1. (A)$\frac{12}{36}$
2. (B)$\frac{5}{36}$
3. (C)$\frac{11}{36}$
4. (D)$\frac{6}{36}$

A black card is lost from a deck of 52 playing cards. Rest of the cards are shuffled and one card is drawn at random from the available cards. The probability that drawn card is 'king of hearts', is

1. (A)$\frac{1}{52}$
2. (B)$\frac{1}{4}$
3. (C)$\frac{1}{51}$
4. (D)$\frac{1}{26}$

If E is an event such that P(E) = 0.1, then P($\overline{E}$) is equal to

1. (A)0.9
2. (B)$\frac{1}{2}$
3. (C)0.99
4. (D)–1

Two dice are rolled together. The probability that only one die shows number 4, is

1. (A)$\frac{11}{36}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{5}{18}$
4. (D)$\frac{1}{4}$

If E is an event such that P(E) = 1%, then P($\overline{E}$) is equal to

1. (A)0.09
2. (B)0.99
3. (C)$\frac{1}{99}$
4. (D)0.90

Two dice are rolled together. The probability of getting a sum more than 9 is

1. (A)$\frac{5}{6}$
2. (B)$\frac{5}{18}$
3. (C)$\frac{1}{6}$
4. (D)$\frac{1}{2}$

If probability of happening of an event is 57%, then probability of non-happening of the event is

1. (A)0.43
2. (B)0.57
3. (C)53%
4. (D)$\frac{1}{57}$

Three coins are tossed together. The probability that exactly one coin shows head, is

1. (A)$\frac{1}{8}$
2. (B)$\frac{1}{4}$
3. (C)1
4. (D)$\frac{3}{8}$

Two dice are rolled together. The probability of getting an outcome (a, b) such that b = 2a, is

1. (A)$\frac{1}{6}$
2. (B)$\frac{1}{12}$
3. (C)$\frac{1}{36}$
4. (D)$\frac{1}{9}$

Three coins are tossed together. The probability that at least one head comes up, is

1. (A)$\frac{3}{8}$
2. (B)$\frac{7}{8}$
3. (C)$\frac{1}{8}$
4. (D)$\frac{3}{4}$

A card is selected at random from a deck of 52 playing cards. The probability of it being a red face card is :

1. (A)$\frac{3}{13}$
2. (B)$\frac{2}{13}$
3. (C)$\frac{1}{2}$
4. (D)$\frac{3}{26}$

Assertion (A) : The probability of selecting a number at random from the numbers 1 to 20 is 1.
Reason (R) : For any event E, if P(E) = 1, then E is called a sure event.

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

A card is drawn at random from a pack of $52$ cards. What is the probability that the card drawn is a spade or a king ?

1. (A)$\frac{1}{13}$
2. (B)$\frac{2}{13}$
3. (C)$\frac{4}{13}$
4. (D)$\frac{9}{13}$

The probability of drawing an even prime number out of numbers from 1 to 30 is :

1. (A)$\frac{1}{30}$
2. (B)$\frac{4}{15}$
3. (C)$\frac{7}{30}$
4. (D)0

In a cricket match, a batsman hits the boundary 7 times out of the 42 balls he plays. The probability of his not hitting a boundary is :

1. (A)$\frac{1}{7}$
2. (B)$\frac{2}{7}$
3. (C)$\frac{5}{6}$
4. (D)$\frac{1}{6}$

If all the red face cards are removed from the deck of 52 playing cards, then the probability of getting a black jack from the remaining cards is :

1. (A)$\frac{2}{46}$
2. (B)$\frac{2}{52}$
3. (C)$\frac{4}{48}$
4. (D)$\frac{2}{23}$

If for any event E, $P(E)+P(\overline{E})=q$, then the value of $q^2-3$ is :

1. (A)0
2. (B)$-2$
3. (C)2
4. (D)1

A die is thrown once. The probability of getting a number which is not a factor of 36, is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{2}{3}$
3. (C)$\frac{1}{6}$
4. (D)$\frac{5}{6}$

If in a lottery, there are 10 prizes and 30 blanks, then the probability of winning a prize is :

1. (A)$\frac{1}{4}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{3}{4}$
4. (D)$\frac{2}{3}$

The number of red balls in a bag is 10 more than the number of black balls. If the probability of drawing a red ball at random from this bag is $\frac{3}{5}$, then the total number of balls in the bag is :

1. (A)50
2. (B)60
3. (C)80
4. (D)40

A pair of dice is thrown. The probability that sum of numbers appearing on top faces is at most 10 is :

1. (A)$\frac{1}{11}$
2. (B)$\frac{10}{11}$
3. (C)$\frac{5}{6}$
4. (D)$\frac{11}{12}$

A pair of dice is thrown once. The probability that sum of numbers appearing on top faces is at least 4 is :

1. (A)$\frac{1}{11}$
2. (B)$\frac{10}{11}$
3. (C)$\frac{5}{6}$
4. (D)$\frac{11}{12}$

Letters A to F are mentioned on six faces of a die such that each face has a different letter. Two such dice are thrown simultaneously. The probability that vowels turn up on both the dice is :

1. (A)$\frac{1}{4}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{1}{9}$
4. (D)$\frac{1}{36}$

A bag contains red balls and black balls in the ratio 3 : 7. A ball is drawn at random. The probability that ball so drawn is black in colour, is

1. (A)$\frac{3}{7}$
2. (B)0.3
3. (C)0.7
4. (D)$\frac{1}{7}$

The probability of getting a composite number greater than 3 on throwing a die is

1. (A)$\frac{1}{6}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{1}{2}$
4. (D)$\frac{2}{3}$

A piggy bank contains ₹ 1 coins and ₹ 2 coins in the ratio 9 : 11 respectively. The piggy bank is accidently dropped and a coin pops out of it. The probability that it is a ₹ 2 coin is

1. (A)$\frac{9}{11}$
2. (B)0.45
3. (C)0.55
4. (D)$\frac{1}{11}$

A bag contains red coloured, blue coloured and green coloured balls in the ratio 2 : 3 : 4. A ball is drawn at random from the given bag. The probability that the ball so drawn being not of blue colour is

1. (A)$\frac{1}{9}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{2}{3}$
4. (D)$\frac{8}{9}$

Two coins are tossed simultaneously. The probability of getting atleast one head is

1. (A)$\frac{1}{4}$
2. (B)$\frac{1}{2}$
3. (C)$\frac{3}{4}$
4. (D)1

In an experiment of throwing a die,
Assertion (A) : Event $E_1$ : getting a number less than 3 and Event $E_2$ : getting a number greater than 3 are complementary events.
Reason (R) : If two events E and F are complementary events, then $P(E)+P(F)=1$.

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

A card is drawn from a well shuffled deck of 52 playing cards. The probability that drawn card is a red queen, is :

1. (A)$\frac{1}{13}$
2. (B)$\frac{2}{13}$
3. (C)$\frac{1}{52}$
4. (D)$\frac{1}{26}$

Three coins are tossed together. The probability of getting exactly one tail, is :

1. (A)$\frac{1}{8}$
2. (B)$\frac{1}{4}$
3. (C)$\frac{7}{8}$
4. (D)$\frac{3}{8}$

On a throw of a die, if getting 6 is considered success then probability of losing the game is :

1. (A)0
2. (B)1
3. (C)$\frac{1}{6}$
4. (D)$\frac{5}{6}$

If probability of winning a game is $p$, then probability of losing the game is :

1. (A)$1+p$
2. (B)$-p$
3. (C)$p-1$
4. (D)$1-p$

Two dice are rolled together. The probability of getting a doublet is :

1. (A)$\frac{2}{36}$
2. (B)$\frac{1}{36}$
3. (C)$\frac{1}{6}$
4. (D)$\frac{5}{6}$

If P(A) denotes the probability of an event A, then

1. (A)$P(A)<0$
2. (B)$P(A)>1$
3. (C)$0\le P(A)\le 1$
4. (D)$-1\le P(A)\le 1$

A die is thrown once. The probability of getting a number less than 6, is :

1. (A)0
2. (B)$\frac{5}{6}$
3. (C)$\frac{1}{6}$
4. (D)1

Two fair coins are tossed together. The probability of getting 2 heads, is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{3}{4}$
3. (C)$\frac{1}{4}$
4. (D)$\frac{3}{8}$

Which of the following relationship is correct ?

1. (A)$P(E)=1+P(\overline{E})$
2. (B)$P(\overline{E})-P(E)=1$
3. (C)$P(E)+P(\overline{E})=1$
4. (D)$P(E)=2P(\overline{E})$

Assertion (A): The probability of getting number 8 on rolling a die is zero (0).
Reason (R): The probability of an impossible event is zero (0).

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

If the probability of an event is ‘$p$’, what is the probability of its complementary event ?

1. (A)$1-p$
2. (B)$p-1$
3. (C)$p$
4. (D)$\frac{1}{p}$

A fair die is thrown once. The probability of getting a composite number less than 5 is :

1. (A)$\frac{1}{3}$
2. (B)$\frac{2}{3}$
3. (C)0
4. (D)$\frac{1}{6}$

A die is rolled once. What is the probability of getting an odd prime number ?

1. (A)$\frac{1}{6}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{2}{3}$
4. (D)$\frac{3}{4}$

A bag has 4 red balls and 2 yellow balls. A ball is drawn at random from the bag without looking into the bag. What is the probability of getting a yellow ball ?

1. (A)$\frac{1}{6}$
2. (B)$\frac{2}{3}$
3. (C)$\frac{1}{3}$
4. (D)1

A letter is chosen at random from the word 'MATHEMATICS'. What is the probability that it will be a 'vowel' ?

1. (A)$\frac{3}{11}$
2. (B)$\frac{4}{11}$
3. (C)$\frac{5}{11}$
4. (D)$\frac{7}{11}$

If the probability of a player winning a game is 0.79, then the probability of his losing the same game is :

1. (A)1.79
2. (B)0.31
3. (C)0.21%
4. (D)0.21

From the data 1, 4, 7, 9, 16, 21, 25, if all the even numbers are removed, then the probability of getting at random a prime number from the remaining is :

1. (A)$\frac{2}{5}$
2. (B)$\frac{1}{5}$
3. (C)$\frac{1}{7}$
4. (D)$\frac{2}{7}$

Two dice are rolled together. The probability of getting sum of numbers on the two dice as 2, 3 or 5, is :

1. (A)$\frac{7}{36}$
2. (B)$\frac{11}{36}$
3. (C)$\frac{5}{36}$
4. (D)$\frac{4}{9}$

Which of the following is not probability of an event ?

1. (A)0.89
2. (B)52%
3. (C)$\frac{1}{13}\%$
4. (D)$\frac{1}{0.89}$

One card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is a red ace card, is :

1. (A)$\frac{1}{13}$
2. (B)$\frac{1}{26}$
3. (C)$\frac{1}{52}$
4. (D)$\frac{1}{2}$

Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10, is

1. (A)$\frac{1}{9}$
2. (B)$\frac{1}{6}$
3. (C)$\frac{7}{12}$
4. (D)$\frac{1}{12}$

A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is

1. (A)$\frac{7}{50}$
2. (B)$\frac{7}{55}$
3. (C)$\frac{1}{10}$
4. (D)$\frac{5}{49}$

Two dice are thrown together. The probability that they show different numbers is :

1. (A)$1/6$
2. (B)$5/6$
3. (C)$1/3$
4. (D)$2/3$

The probability of guessing the correct answer to a certain test question is $\frac{x}{6}$. If the probability of not guessing the correct answer to this question is $\frac{2}{3}$, then the value of $x$ is :

1. (A)2
2. (B)3
3. (C)4
4. (D)6

If a digit is chosen at random from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9; then the probability that this digit is an odd prime number is :

1. (A)$\frac{1}{3}$
2. (B)$\frac{2}{3}$
3. (C)$\frac{4}{9}$
4. (D)$\frac{5}{9}$

Assertion (A) : In a cricket match, a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given ball, he does not hit the boundary is $\frac{4}{5}$.
Reason (R) : P(E) + P(not E) = 1

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

Two coins are tossed simultaneously. The probability of getting at most one tail is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{1}{4}$
3. (C)$\frac{3}{4}$
4. (D)1

A bag contains 3 red balls, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is :

1. (A)$\frac{1}{3}$
2. (B)$\frac{1}{5}$
3. (C)$\frac{7}{15}$
4. (D)$\frac{8}{15}$

The probability of getting a bad egg in a lot of 400 eggs is 0.045. The number of good eggs in the lot is :

1. (A)18
2. (B)180
3. (C)382
4. (D)220

Two dice are tossed simultaneously. The probability of getting odd numbers on both the dice is :

1. (A)$\frac{6}{36}$
2. (B)$\frac{3}{36}$
3. (C)$\frac{12}{36}$
4. (D)$\frac{9}{36}$

For an event E, if $P(E)+P(\overline{E})=q$, then the value of $q^2-4$ is :

1. (A)$-3$
2. (B)3
3. (C)5
4. (D)$-5$

From the letters of the word “MOBILE”, a letter is selected at random. The probability that the selected letter is a vowel, is :

1. (A)$\frac{3}{7}$
2. (B)$\frac{1}{6}$
3. (C)$\frac{1}{2}$
4. (D)$\frac{1}{3}$

The probability of throwing a number greater than 2 with a fair die is :

1. (A)$\frac{2}{3}$
2. (B)$\frac{1}{3}$
3. (C)$\frac{1}{2}$
4. (D)$\frac{5}{6}$

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 7 is :

1. (A)$\frac{1}{7}$
2. (B)$\frac{1}{8}$
3. (C)$\frac{1}{5}$
4. (D)$\frac{7}{40}$

What is the probability that a number selected randomly from the numbers 1, 2, 3, ..., 15 is a multiple of 4 ?

1. (A)$\frac{4}{15}$
2. (B)$\frac{6}{15}$
3. (C)$\frac{3}{15}$
4. (D)$\frac{5}{15}$

A card is drawn at random from a well-shuffled deck of 52 cards. The probability of getting a red card is :

1. (A)$\frac{1}{26}$
2. (B)$\frac{1}{13}$
3. (C)$\frac{1}{4}$
4. (D)$\frac{1}{2}$

A die is thrown once. Find the probability of getting a number less than 7.

1. (A)$\frac{5}{6}$
2. (B)1
3. (C)$\frac{1}{6}$
4. (D)0

A card is drawn at random from a well-shuffled deck of 52 playing cards. The probability of getting an ace of spade is :

1. (A)$\frac{1}{13}$
2. (B)$\frac{3}{52}$
3. (C)$\frac{1}{26}$
4. (D)$\frac{1}{52}$

A die is thrown once. The probability of getting an odd prime number is

1. (A)$\frac{1}{2}$
2. (B)$\frac{1}{6}$
3. (C)$\frac{1}{3}$
4. (D)$\frac{2}{3}$

A die is rolled once. The probability that a composite number comes up, is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{2}{3}$
3. (C)$\frac{1}{3}$
4. (D)0

Which of the following numbers cannot be the probability of an event ?

1. (A)0.5
2. (B)5%
3. (C)$\frac{1}{0.5}$
4. (D)$\frac{0.5}{14}$

Assertion (A) : The probability of getting a prime number, when a die is thrown once, is $\frac{2}{3}$.
Reason (R): On the faces of a die, prime numbers are 2, 3, 5.

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

A card is drawn at random from a well-shuffled deck of 52 playing cards. The probability that it is a red king, is :

1. (A)$\frac{1}{13}$
2. (B)$\frac{1}{52}$
3. (C)$\frac{1}{26}$
4. (D)$\frac{2}{13}$

Two coins are tossed together. The probability of getting atmost two heads, is :

1. (A)$\frac{1}{2}$
2. (B)$\frac{1}{4}$
3. (C)$\frac{3}{4}$
4. (D)1

Which of the following cannot be the probability of an event ?

1. (A)0.1
2. (B)$\frac{5}{3}$
3. (C)3%
4. (D)$\frac{1}{3}$

From a well-shuffled deck of 52 playing cards, a card is drawn at random. What is the probability of getting a red queen ?

1. (A)$\frac{1}{52}$
2. (B)$\frac{1}{26}$
3. (C)$\frac{1}{13}$
4. (D)$\frac{12}{13}$

Let E be an event such that P(not E) $=\frac{1}{5}$, then P(E) is equal to :

1. (A)$\frac{1}{5}$
2. (B)$\frac{2}{5}$
3. (C)0
4. (D)$\frac{4}{5}$

From a well-shuffled deck of 52 cards, a card is drawn at random. What is the probability of getting king of hearts ?

1. (A)$\frac{1}{52}$
2. (B)$\frac{1}{26}$
3. (C)$\frac{1}{13}$
4. (D)$\frac{12}{13}$

One card is drawn at random from a well shuffled deck of 52 playing cards. What is the probability of getting ‘4 of hearts’ ?

1. (A)$\frac{1}{52}$
2. (B)$\frac{1}{13}$
3. (C)$\frac{1}{26}$
4. (D)$\frac{1}{6}$

Assertion (A) : When two coins are tossed together, the probability of getting no tail is $\frac{1}{4}$.
Reason (R) : The probability P(E) of an event E satisfies $0\le$ P(E) $\le 1$.

1. (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

Two dice are rolled together. The probability that the sum of the numbers that appeared is 9, is :

1. (A)$\frac{5}{36}$
2. (B)$\frac{1}{9}$
3. (C)$\frac{1}{12}$
4. (D)$\frac{1}{6}$

One card is drawn at random from a well shuffled deck of 52 playing cards. The probability that it is a red king is :

1. (A)$\frac{1}{52}$
2. (B)$\frac{1}{26}$
3. (C)$\frac{2}{26}$
4. (D)$\frac{2}{13}$

One card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability of getting a black king ?

1. (A)$\frac{1}{26}$
2. (B)$\frac{1}{13}$
3. (C)$\frac{1}{52}$
4. (D)$\frac{1}{2}$

An unbiased die is thrown. The probability of getting an odd prime number is

1. (A)$\frac{1}{6}$
2. (B)$\frac{1}{2}$
3. (C)$\frac{2}{3}$
4. (D)$\frac{1}{3}$

Assertion (A) : The probability that a leap year has 53 Sundays is $\frac{2}{7}$.
Reason (R) : The probability that a non-leap year has 53 Sundays is $\frac{1}{7}$.

1. (A)Both Assertion (A) and Reason (R) are true; and Reason (R) is the correct explanation of Assertion (A).
2. (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. (C)Assertion (A) is true, but Reason (R) is false.
4. (D)Assertion (A) is false, but Reason (R) is true.

Probability of happening of an event is denoted by p and probability of non-happening of the event is denoted by q. Relation between p and q is

1. (A)p + q = 1
2. (B)p = 1, q = 1
3. (C)p = q – 1
4. (D)p + q + 1 = 0

A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought ?

1. (A)40
2. (B)240
3. (C)480
4. (D)750

In a group of 20 people, 5 can't swim. If one person is selected at random, then the probability that he/she can swim, is

1. (A)$\frac{3}{4}$
2. (B)$\frac{1}{3}$
3. (C)1
4. (D)$\frac{1}{4}$

In a survey, it is found that every fifth person has a vehicle. The probability of a person NOT having a vehicle, is

1. (A)$\frac{1}{5}$
2. (B)5%
3. (C)$\frac{4}{5}$
4. (D)95%

A bag contains 100 cards numbered 1 to 100. A card is drawn at random from the bag. What is the probability that the number on the card is a perfect cube ?

1. (A)$\frac{1}{20}$
2. (B)$\frac{3}{50}$
3. (C)$\frac{1}{25}$
4. (D)$\frac{7}{100}$

If three coins are tossed simultaneously, what is the probability of getting at most one tail ?

1. (A)$\frac{3}{8}$
2. (B)$\frac{4}{8}$
3. (C)$\frac{5}{8}$
4. (D)$\frac{7}{8}$

In a single throw of two dice, the probability of getting 12 as a product of two numbers obtained is :

1. (A)$\frac{1}{9}$
2. (B)$\frac{2}{9}$
3. (C)$\frac{4}{9}$
4. (D)$\frac{5}{9}$

In a lottery, there are 5 prizes and 20 blanks. The probability of getting a prize is :

1. (A)$\frac{1}{4}$
2. (B)$\frac{1}{20}$
3. (C)$\frac{1}{25}$
4. (D)$\frac{1}{5}$