CUET Mathematics 2026 14th May Shift 2 PYQs

Two dice are thrown simultaneously. If X denotes the number of sixes appearing on two dice, then which of the following are correct?

(A) $P(X=0)=\frac{1}{36}$

(B) $P(X=1)=\frac{10}{36}$

(C) $P(X=1)+P(X=0)=\frac{35}{36}$

(D) $P(X=1)+P(X=2)=\frac{11}{36}$

Choose the correct answer from the options given below:

If A and B are two events such that $A \neq \emptyset$, B $\neq \emptyset$, then which of following is/are TRUE:

A. $P(B/A)=P(A).P(B)$

B. $P(B/A)=\frac{P(A\cap B)}{P(A)}$

C. $P(A'/B')=\frac{1-P(A\cup B)}{1-P(B)}$

D. $P(B/A).P(A/B)=2$

Choose the correct answer from the options given below:

If A and B are independent events, then which of the following is/are true?

(A) $\bar{A}$ and B are independent events

(B) $P(A \cap B) = 0$

(C) $\bar{A}$ and $\bar{B}$ are independent events

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

Choose the correct answer from the options given below: