Let A and B be independent events with P(A)=0 | vedclass

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(B) Given that $A$ and $B$ are independent events.For independent events,the conditional probability $P(B | A)$ is equal to the marginal probability $

Vedclass · Accepted Answer

$0.4$

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(B) Given that $A$ and $B$ are independent events.For independent events,the conditional probability $P(B | A)$ is equal to the marginal probability $P(B)$.Mathematically,$P(B | A) = \frac{P(A \cap B)}{P(A)}$.Since $A$ and $B$ are independent,$P(A \cap B) = P(A) 	imes P(B)$.Substituting this into the formula: $P(B | A) = \frac{P(A) 	imes P(B)}{P(A)} = P(B)$.Given $P(B) = 0.4$,therefore $P(B | A) = 0.4$.

Let $A$ and $B$ be independent events with $P(A)=0.3$ and $P(B)=0.4$. Find $P(B | A)$.

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