Question

For two events $A$ and $B$ such that $P(A) \neq 0$ and $P(B) \neq 1$, the conditional probability $P(A'/B')$ is equal to:

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

Hint:

Remember that $P(A'/B') \neq 1 - P(A/B)$. A complement inside conditional probabilities only follows the rule $P(A'/B) = 1 - P(A/B)$ when the condition event $B$ remains identical!

Answer 1

The Correct Option is D