If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find: P(A ) - Vidyadip

Question

$\text{If}\ \text{P}(\text{A})=0.8,\ \text{P}(\text{B})=0.5\ \text{and}\ \text{P}(\text{B}|\text{A})=0.4,\ \text{find}:$
$\text{P}(\text{A}\cup\text{B})$

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Answer

$\text{P}\left(\text{A}\cup\text {B}\right)=\text{P}\left(\text{A}\right)+\text{P}\left(\text{B}\right)-\text{P}\left(\text{A}\cap\text{B}\right)=0.8+0.5-0.32=0.98$

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