For events $A$ and $B$, it is given that $\mathrm{P}\left( A \right)=0.25$ and \(\mathrm{

Question

For events $A$ and $B$, it is given that $\mathrm{P}\left( A \right)=0.25$ and $\mathrm{P}\left( A'\cap B' \right)=0.15$. It is also given that $A$ and $B$ are independent. Find $\mathrm{P}\left( B' \right)$.[2] For a third event $C$, it is given that $B$ and $C$ are mutually exclusive, and that whenever event $C$ occurs, event $A$ occurs. Find $\mathrm{P}\left( A\cap B' \right)$. Hence state an inequality satisfied by $\mathrm{P}\left( C \right)$.[2]

Accepted Answer

(i) ${0.2}$ (ii) ${0 \leq \mathrm{P}(C) \leq 0.05}$

2018 NJC MYE Q3 (b)

2018 NJC MYE Q3 (b)

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