JEE PYQ: Probability Question 27
Question 27 - 2020 (08 Jan Shift 1)
Let $A$ and $B$ be two independent events such that $P(A) = \frac{1}{3}$ and $P(B) = \frac{1}{6}$. Then, which of the following is TRUE?
(1) $P(A/B) = \frac{2}{3}$
(2) $P(A/B’) = \frac{1}{3}$
(3) $P(A’/B’) = \frac{1}{3}$
(4) $P(A/(A \cup B)) = \frac{1}{4}$
Show Answer
Answer: (2)
Solution
Since $A$ and $B$ are independent: $P(A/B’) = P(A) = \frac{1}{3}$.