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

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Question

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

Vedclass · Accepted Answer

$0.3$

Vedclass · Answer

(A) Given that $A$ and $B$ are independent events.For independent events,the conditional probability $P(A | B)$ is equal to the marginal probability $P(A)$.Mathematically,$P(A | B) = \frac{P(A \cap B)}{P(B)}$.Since $A$ and $B$ are independent,$P(A \cap B) = P(A) 	imes P(B)$.Therefore,$P(A | B) = \frac{P(A) 	imes P(B)}{P(B)} = P(A)$.Given $P(A) = 0.3$,we have $P(A | B) = 0.3$.

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

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