CUET Mathematics - If A is any event associated with sample space and If E_1, E_2, E_3 are mutually exclusive and exhaustive events. Then which of the following are true? (A) P(A) = P(E_1)P(E_2|A) + P(E_2)P(E_2|A) + P(E_3)P(E_3|A) (B) P(A) = P(A|E_1)P(E_1) + P(A|E_2)P(E_2) + P(A|E_3)P(E_3) (C) P(E_i|A) = P(A|E_i)P(E_i)_i=1^3 P(A|E_i)P(E_i), i = 1,2,3 (D) P(A|E_i) = P(E_i|A)P(E_i)_i=1^3 P(E_i|A)P(E_i), i = 1,2,3 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Algebra

Medium

core

(A) and (C) only

(A) and (D) only

(B) and (D) only

(B) and (C) only

✅ Correct Option: 4

Related questions:

22 May Shift 1

If E and F are independent events associated with an experiment, then which one of the following statements is correct?

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:

29 May Shift 2

If the binomial distribution $X\sim B(n, p)$ of mean 3 and variance $\frac{3}{2}$ $(p + q) = 1$ , then which of the following is/are TRUE?

(A) $q = \frac{1}{2}$ , $n = 6$

(B) $P(X \leq 5) = \frac{63}{64}$ , $p = \frac{1}{2}$

(D) $P(X = 4) = \frac{15}{64}$ , $n = 6$

Choose the correct answer from the options given below:

CUET Mathematics 2025 14 May Shift 1 PYQs

Keyboard Shortcuts