CUET General Test Quantitative Reasoning > Probability PYQs

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked up at random, what is the probability that at least one is blue?

Three unbiased coins are tossed. What is the probability of getting at least 2 heads?

An integer number is chosen at random from the first 100 integers. What is the probability that the chosen number is a perfect cube?

A and B are participating in the same contest, the probability of their winning are $\frac{5}{8}$ and $\frac{1}{4}$ respectively. What is the probability that neither of them will win the contest?

In a musical chair game, the person playing the music has been advised to stop playing the music at any time within 1.5 minutes after he starts playing. What is the probability that the music will stop within the first 15 seconds after starting?

Arnav rolls two dice simultaneously. What is the probability of Arnav getting two numbers whose sum is a prime number?

Two dice are thrown simultaneously. What is the probability that 4 will come up on at least one die?

A bag contains 3 red, 2 blue, 5 green and 4 yellow balls. If two balls are picked at random, what is the probability that either both are red or both are blue?

A speaks the truth in 70% of cases and B lies in 40% of cases. The probability that they will say the same thing while describing a single event (to have occurred or not) will be:

The probability that a card drawn from a pack of 52 cards will be a red card or an ace (including the chance of any red ace), is:

Four people are chosen at random from a group of 3 men, 2 women and 4 children. The probability that exactly 2 of them are children is:

In a simultaneous throw of a pair of dice, what is the probability of getting a total more than 8?

Two unbiased coins are tossed. The probability of getting at least one head is:

Two friends, P and Q, appeared in an interview for two vacancies for the same post. The probability of P's selection is $\frac{1}{3}$ and that of Q's selection is $\frac{2}{7}$. What is the probability that at least one of them will be selected?

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

Two persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/4 and 1/6 respectively, then the probability that none of them is selected shall be:

A single card is chosen at random from a standard deck of 52 playing cards. The probability of choosing either a Queen or a Spade (but not both) is:

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct? (A) The probability that both balls are red is $\frac{1}{11}$. (B) The probability that one ball is red, and one ball is blue is $\frac{10}{33}$. (C) The probability that both balls are blue is $\frac{5}{33}$. (D) The probability that both balls are green is $\frac{5}{11}$. Choose the correct answer from the options given below:

If three unbiased coins are tossed simultaneously, then the probability of exactly two heads is:

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct? (A) The probability that both balls are red is 1/11. (B) The probability that one ball is red, and one ball is blue is 10/33 (C) The probability that both balls are blue is 5/33. (D) The probability that both balls are green is 5/11. Choose the correct answer from the options given below:

One card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card be an ace.

Match List-I with List-II | List-I | List-II | |---|---| | (Statements/Expressions, etc.) | (Value/Expressions, etc.) | | (A) P(E) | (I) 1 | | (B) The probability of an impossible event | (II) P(A). P(B) | | (C) For exhaustive events E₁ and E₂, P(E₁ ∪ E₂)= | (III) 1-P(Ē) | | (D) For independent events A and B, P(A ∩ B)= | (IV) 0 | Choose the correct answer from the options given below:

Two candidates, X and Y appeared in an interview for two vacancies for the same post. The probabilities of their selection are 1/4 and 1/7, respectively. What is the probability that one of them will be selected?

A man and his wife appeared for an interview for the two vacancies. If the probability of husband's selection is $\frac{1}{3}$ and the probability of wife's selection is $\frac{1}{5}$, then the probability that none of them will be selected?

Suppose we throw a dice once. Then, which one of the following is/are correct? (A) The probability of getting a number greater than 4 is $\frac{1}{3}$ (B) The probability of getting a number greater than or equal to 4 is $\frac{1}{3}$ (C) The probability of getting a number less than or equal to 3 is $\frac{1}{2}$ (D) The probability of getting a number less than or equal to 6 is 1. Choose the correct answer from the options given below:

Four persons are choosen at random from a group of 3 men, 2 women and 4 children. The probability of having 2 children out of 4 is :

'A' spins a spinner that is split into 10 equal sections marked as 1, 3, 2, 1, 2, 2, 3, 1, 2, 1. What is the probability that the spinner will land on number 2 ?

If $P(E) = 0.05$, what is the probability of 'not E'?

A bag contains 6 red, 4 blue and 10 white balls. A ball is picked from the bag at random. What is the probability that it is neither white nor blue?

A game consists of tossing a coin 3 times. Hanif wins if all the tosses give the same result. What is the probability that he loses the game?

Three coins are tossed once. Probability of getting no head is :

A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$. What is the probability of both A and B occurring at the same time?

Tickets numbered from 1 to 20 are mixed and a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?

A dice is thrown twice. Find the probability of getting an odd number in the second throw and a multiple of 3 in the first throw.

What is the probability that a leap year selected at random, will have either 53 Sundays or 53 Saturdays ?

A pair of dice is thrown. What is the probability of getting the sum of numbers on the two faces an odd-prime number?

A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?

What is the probability that any non-leap year will have 53 Sundays?