CUET General Test: Quantitative ReasoningProbability. Free, no login required.

Q1:

2026: 6 June Shift 1

Probability

Medium

Two dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

Answer options
Option 2
Correct Answer
Explanation for 2026: 6 June Shift 1 GET question 1

Q3:

2026: 31 May Shift 1

Probability

Easy

A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both balls are white.

Answer options
Option 4
Correct Answer
Explanation for 2026: 31 May Shift 1 GET question 3

Q5:

2026: 30 May Shift 1

Probability

Easy

In a deck of lotteries, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting prize?

Answer options
Option 1
Correct Answer
Explanation for 2026: 30 May Shift 1 GET question 5

Q7:

2026: 29 May Shift 1

Probability

Easy

Consider the experiment of rolling a die. Let A be the event 'getting a prime number', B be the event 'getting an odd number'. However C be the event containing only highest number of die. If P is the probability of the events.

(A) Here, S={1,2,3,4,5,6},A={2,3,5},B={1,3,5},C={6}S = \{1,2,3,4,5,6\}, A = \{2,3,5\}, B = \{1,3,5\}, C = \{6\}

(B) A∪B={1,2,3,5}A \cup B = \{1,2,3,5\} & A∩B={3,5}A \cap B = \{3,5\}

(C) P(A)≥0,P(B)≥0,P(C)≥0P(A) \geq 0, P(B) \geq 0, P(C) \geq 0

(D) P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B)

Arrange the above events in chronological order and choose the correct answer from the options given below:

Answer options
Option 1
Correct Answer
Explanation for 2026: 29 May Shift 1 GET question 7

Q9:

2026: 25 May Shift 2

Probability

Easy

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

Answer options
Option 2
Correct Answer
Explanation for 2026: 25 May Shift 2 GET question 9

Q10:

2026: 25 May Shift 1

Probability

Easy

A bag contains 4 white and 2 black balls. Another contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both are white ?

Answer options

Q11:

2026: 24 May Shift 1

Probability

Easy

If a dice is thrown, what is the probability of getting 6 ?

Answer options

Q13:

2026: 21 May Shift 2

Probability

Easy

Two dices are thrown together. The probability of the sum of the numbers being 8 is:

Answer options

Q16:

2026: 20 May Shift 1

Probability

Easy

The probability that a card drawn from a pack of 52 cards will be a spade or a queen, is

Answer options

Q17:

2026: 19 May Shift 2

Probability

Easy

A bag contains 7 red balls, 11 yellow balls, and 4 pink balls. If two balls are drawn at random from the bag, one after another, what is the probability that the first ball is red and the second ball is yellow?

Answer options

Q18:

2026: 19 May Shift 1

Probability

Easy

A box contains 3 blue, 2 white, and 5 red balls. If a ball is drawn at random from the box, what is the probability that it will be red?

Answer options

Q20:

2026: 18 May Shift 1

Probability

Easy

Two unbiased coins are tossed:

Match the List-I and List-II

List-IList-II
(A) Probability of getting one head(I) 3/4
(B) Probability of getting two heads(II) 1/2
(C) Probability of getting at most one head(III) 1/4
(D) Probability of getting three heads(IV) 0

Choose the correct answer from the options given below:

Answer options

Q22:

2026: 14 May Shift 1

Probability

Easy

If A and B are two disjoint events then

A. A ∩ B = Φ

B. P ( A ∩ B ) = 0

C. P ( A ∪ B ) = P (A) + P (B)

D. P ( A ∩ B ) = 1

Choose the correct answer from the options given below:

Answer options

Q23:

2026: 12 May Shift 2

Probability

Easy

In a pack of lotteries, there are 5 prizes and 20 blanks. A lottery is drawn at random. The probability of getting prize is:

Answer options

Q24:

2026: 12 May Shift 1

Probability

Medium

If A and B are mutually exclusive events, then following probability of the events are given below:

(A) P(A) =0.4, P(B) =0.4 and P(AUB)=0.8

(B) P(A) =0.3, P(B) =0.6 and P(AUB)=0.9

(C) P(A) =0.3, P(B) =0.3 and P(AUB)=0.6

(D) P(A) =0.1, P(B) =0.1 and P(AUB)=0.2

which of the following options is correct?

Answer options

Q25:

2025: 3 June Shift 2

Probability

Medium

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?

Answer options

Q26:

2025: 3 June Shift 1

Probability

Easy

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

Answer options

Q27:

2025: 30 May Shift 2

Probability

Easy

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

Answer options

Q28:

2025: 29 May Shift 2

Probability

Easy

A and B are participating in the same contest, the probability of their winning are 58\frac{5}{8} and 14\frac{1}{4} respectively. What is the probability that neither of them will win the contest?

Answer options

Q29:

2025: 29 May Shift 1

Probability

Easy

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?

Answer options

Q30:

2025: 28 May Shift 2

Probability

Medium

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

Answer options