CUET Mathematics - Probabilities of solving a specific mathematical problem independently by three students are 1/2,1/3 and 1/4. If all the three students try to solve the problem independently, the probability that the problem is solved, is: | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 1

Algebra

Easy

core

$\frac{1}{24}$

$\frac{1}{12}$

$\frac{3}{4}$

✅ Correct Option: 3

Related questions:

21 May Shift 2

A letter is known to have come from either TATAPUR or from CHAKRATA. On the envelope, only two letters 'TA' are visible consecutively. The probability that the letter has come from CHAKRATA is:

17 Aug Shift 2

It is given that only 0.1% of a large population have COVID infection. In this population, the reliability of COVID RTPCR-test is specified as follows :

For persons having COVID, 90% of the test detects the disease but 10% goes undetected. For persons not having COVID, 99% of the test is judged COVID negative but 1% are diagnosed as COVID positive.

Based on the above informations, answer the question :

The probability of the person to be tested as COVID positive, given that he is actually not having COVID is :

30 May Shift 3

Match List - I with List - II.

List - I	List - II
(A) If A and B are mutually exclusive events, then $P(A \cup B) =$	(I) $\frac{P(A \cap B)}{P(B)}, P(B) \neq 0$
(B) If A and B are independent events, then $P(A \cap B) =$	(II) $\frac{P(A \cap B)}{P(A)}, P(A) \neq 0$
(C) If A and B are two events of a sample space of an experiment, then $P(A/B) =$	(III) $P(A) \cdot P(B)$
(D) If A and B are two events of a sample space of an experiment, then $P(B/A) =$	(IV) $P(A) + P(B)$

Choose the correct answer from the options given below :

CUET Mathematics 2026 30th May Shift 1 PYQs

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