Two events A and B will be independent i

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Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Two events A and B will be independent if

Options:

P(A) = P(B)

P(A) + P(B) = 1

A and B are mutually exclusive events

P(A’ B’) = [1 - P(A)][1 - P(B)]

Correct Answer:

P(A’ B’) = [1 - P(A)][1 - P(B)]

Explanation:

$\text{For independent events }A \text{ and } B,$

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

$P(A' \cap B')=P(A')P(B')=[1-P(A)][1-P(B)].$

$\text{Correct option is (D).}$