CUET Mathematics 2026 21st May Shift 1 PYQs

Bag I contains 3 red and 4 black balls while Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. then the probability that it was drawn from Bag I is

If $A$ and $B$ are two events such that $P(\overline{A} \cup \overline{B}) = \dfrac{2}{3}$ and $P(A \cup B) = \dfrac{5}{9}$, then which of the following are TRUE?

A. $P(A \cap B) = \dfrac{1}{3}$

B. $P(A \cup B) + P(A \cap B) = \dfrac{7}{9}$

C. $P(A) + P(B) = \dfrac{2}{9}$

D. $P(\overline{A}) + P(\overline{B}) = \dfrac{10}{9}$

Choose the correct answer from the options given below:

The monthly expectation of a two-wheeler accident at a particular railway crossing is 0.02. What is the probability that in a specific month, no accident occurred? (given $e^{-0.02} = 0.9802$)