Probability
RS Aggarwal
CBSE
Grade 12
Question:
If $A$ and $B$ are independent events, then $P(A' \cap B')$ is equal to:
(a) $(1 - P(A))(1 - P(B))$
(b) $1 - P(A) - P(B)$
(c) $P(A') + P(B')$
(d) $1 - P(A \cap B)$
Step-by-Step Solution
Key Concept: P(A' \cap B') = P(A') P(B') = (1-P(A))(1-P(B)).
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $(1 - P(A))(1 - P(B))$
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.