$A$ and $B$ are events such that \[\mathrm{P}(B)=x, \quad \mathrm{P}(A' \cap B')=\frac{3}{20} \q

Question

$A$ and $B$ are events such that $$\mathrm{P}(B)=x, \quad \mathrm{P}(A' \cap B')=\frac{3}{20} \quad \text{and} \quad \mathrm{P}(A|B)=\frac{1}{4}$$ Find an expression for $\mathrm{P}(A)$ in terms of $x$.[3] It is also given that $\mathrm{P}(A \cap B')=\frac{5}{3}\mathrm{P}(A \cap B)$. Find the value of $x$.[3] Find $\mathrm{P}(B'|A')$.[2]

Accepted Answer

(a) $17/20-3x/4$; (b) $x=3/5$; (c) $1/4$.

2024 JPJC H1 Q7

2024 JPJC H1 Q7

Solution:

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