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Given that the events and are such that , and . Find if: and are mutually exclusive. and are…
Given that the events $A$ and $B$ are such that $P(A) = \frac{1}{2}$, $P(A \cup B) = \frac{3}{5}$ and $P(B) = k$. Find $k$ if:
(a)
$A$ and $B$ are mutually exclusive.
(b)
$A$ and $B$ are independent.
Answer
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From ISC 2018 Specimen Mathematics Paper 1, question 1(x).