Question
Suppose $A$ and $B$ are independent events. Prove that(a) $A$ and $\bar{B}$ are independent and(b) $\bar{A}$ and $\bar{B}$ are independent.
Step 1
Two events $A$ and $B$ are independent if and only if the probability of their intersection equals the product of their probabilities, i.e., $P(A \cap B) = P(A)P(B)$. Show more…
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