According to the general equation for conditional probability, if and , what is ?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 256 People

according to the general equation for conditional probability of p(an B) = 3/10 and P(B)= 3/5, what is P(A|B)

Answered by maham237 @ 22/12/2020

The required formula is:
$P(A | B)=\frac{P(A\cap B)}{P(B)}$
Therefore the probability of A given B is:
$P(A|B)=\frac{\frac{3}{10}}{\frac{3}{5}}=\frac{3\times5}{10\times3}=\frac{1}{2}$

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