In a group of employed persons, $30 \%$ are women. $65 \%$ of the men and $40 \%$ of the women pay i

Question

In a group of employed persons, $30 \%$ are women. $65 \%$ of the men and $40 \%$ of the women pay income tax. The probability that a randomly chosen person is not a income tax payer is

Professor PC Thomas Classes · Answer

$P(	ext{not tax}) = 0.7(0.35) + 0.3(0.60) = 0.425$.