For the events $A$, $B$ and $C$, it is given that $\mathrm{P}(A)=\frac{1}{4}$, \(\mathr

Question

For the events $A$, $B$ and $C$, it is given that $\mathrm{P}(A)=\frac{1}{4}$, $\mathrm{P}(B)=\frac{1}{3}$ and $\mathrm{P}(C)=\frac{1}{5}$. $A$ and $B$ are independent while $B$ and $C$ are mutually exclusive. Find the exact maximum and minimum values of $P(A'\cap B'\cap C')$.[4]

Accepted Answer

${\frac{3}{10} \leq P(A' \cap B' \cap C') \leq \frac{7}{15}}$

NYJC Lecture Test Q3

NYJC Lecture Test Q3

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