Question
$P (A’ ∩ B) = 0.45$ and $A ∩ B = ∅$, find $P(B).$

Answer

$P (A’ ∩ B) = 0.45$ and $A ∩ B = \Phi $ are given.
$\therefore P(A ∩ B) = 0$
Now, $P(A’ ∩ B) = P(B) – P(A ∩ B)$
$\therefore 0.45 = P(B) – 0$
$\therefore P(B) = 0.45$

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