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

Question

For the events $A$, $B$ and $C$ it is given that, $\mathrm{P}\left( A \right)=p$, $\mathrm{P}\left( B \right)=0.4$, $\mathrm{P}\left( A\cap C \right)=0.2$ and $\mathrm{P}\left( A\cap B\cap C \right)=$ $\mathrm{P}\left( A'\cap B'\cap C' \right)=0$. It is also given that events $A$ and $B$ are independent, find the range of values of $\mathrm{P}\left( A\cap B \right)$. [5]

Accepted Answer

$\dfrac{2}{15} \leq \mathrm{P}(A \cap B) \leq \dfrac{2}{5}$

2021 TJC P2 Q5

2021 TJC P2 Q5

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