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QUESTION IMAGE

5 $p(acap b)=p(a)cdot p(a|b)$ true false

Question

5
$p(acap b)=p(a)cdot p(a|b)$
true
false

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$, which can be rewritten as $P(A\cap B)=P(B)\cdot P(A|B)$. The given formula $P(A\cap B)=P(A)\cdot P(A|B)$ is incorrect.

Answer:

B. False