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

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) $P(B')= rac15$; (ii) $0\le P(C) \le0.05$

2018 NJC MYE Q3 (b)

2018 NJC MYE Q3 (b)

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