The events $A$ and $B$ are such that $\mathrm{P}(A \cup B) = \frac{4}{5}$ and \(\mathrm{P

Question

The events $A$ and $B$ are such that $\mathrm{P}(A \cup B) = \frac{4}{5}$ and $\mathrm{P}(A \cap B') = \frac{1}{6}$. $A$ and $B$ are independent events. Find $\mathrm{P}(B)$.[2] Find the probability that both $A$ and $B$ occur.[3]

Accepted Answer

(a)$\frac{19}{30}$ (b)$\frac{19}{66}$

2024 VJC H1 Q7

2024 VJC H1 Q7