Events $A$ and $B$ are such that $\mathrm{P}(A) = 0.4$, $\mathrm{P}(A|B) = 0.25$ and \(

Question

Events $A$ and $B$ are such that $\mathrm{P}(A) = 0.4$, $\mathrm{P}(A|B) = 0.25$ and $\mathrm{P}(A \cup B) = 0.55$. Find $\mathrm{P}(B)$.[5]

Accepted Answer

$ \mathrm{P}(B) = \frac{1}{5}$

2023 May TZ2 P1 Q4