CUET Mathematics - A problem in Mathematics is given to two students X and Y whose chances of solving it are 1/3 and 1/4 respectively. The probability that only X solves the problem, is: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Algebra

Medium

core

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{4}$

$\frac{7}{12}$

✅ Correct Option: 3

Related questions:

2 June Shift 1

For any events A and B of a sample space S, which of the following statements are TRUE?

(A) $P(S | B) = 1$

(B) $P(A \cap B) = P(A) + P(B) + P(A \cup B)$

(D) $P(A | B) = \frac{P(A \cap B)}{P(B)}, P(B) \neq 0$

Choose the correct answer from the options given below:

22 May Shift 1

A random variable X has the following probability distribution:

X	-2	-1	0	1	2	3
P(X)	0.1	0.2	k	0.3	2k	0.1

then which of the following are TRUE?

(A) $k=0.1$

(B) $P(X < 1) = 0.4$

(D) $P(0 < X < 3) = 0.5$

Choose the correct answer from the options given below:

30 May Shift 2

If A and B are two events such that P(A) ≠ 0 and P(B | A) = 1 then

CUET Mathematics 2025 14 May Shift 2 PYQs