Events $A$ and $B$ are independent, with $$P(A\cup B)=\frac45,\qquad P(A\cap B)=\frac3{10}.$$ Fi

Question

Events $A$ and $B$ are independent, with $$P(A\cup B)=\frac45,\qquad P(A\cap B)=\frac3{10}.$$ Find $P(A)$ and $P(B)$, allowing for their order to be interchanged.

Accepted Answer

$P(A)=\frac12,\ P(B)=\frac35$, or $P(A)=\frac35,\ P(B)=\frac12$.

Probability

Probability

Solution:

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