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Mutually Exclusive Events

If A and B ar...

Question

If $A$ and $B$ are mutually exclusive events such that $P (A) = 0.4, P (B) = x$ and $P (A \cup B) = \frac{1}{2},$ then the value of $\frac{1}{x}$ is

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Solution

$A$ and $B$ are mutually exclusive events
$∴ P (A \cap B) = ϕ$
$P (A \cup B) = P (A) + P (B)$
$0.5 = x + 0.4$
$∴ x = 0.1 \Rightarrow \frac{1}{x} = 10$

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Mutually Exclusive Events

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