Question:easy

If \(P(A)=0.8,\ P(B)=0.5\) and \(P(B\mid A)=0.4\), find \(P(A\cup B)\).

Show Hint

Get P(A∩B) from P(B|A)·P(A), then use the addition rule.
Updated On: Sep 23, 2026
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Solution and Explanation

Step 1: Computing P(A∩B) from the conditional:
\(P(A\cap B)=P(A)\,P(B\mid A)=0.8\times0.4=0.32\).

Step 2: Adding and subtracting the overlap:
\(P(A\cup B)=0.8+0.5-0.32=1.3-0.32\).

Final Answer:
\[ \boxed{0.98} \]
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