If A and B are two independent events such that P(A) = 2/7 and P(B) = 1/6 then P(A’ ∩ B’) is _________
Answer & explanation
Correct answer: option 2
$P(A)=\frac{2}{7},P(B)=\frac{1}{6}$
$P(A')=1-\frac{2}{7}=\frac{5}{7},P(B')=1-\frac{1}{6}=\frac{5}{6}$
$P(A'∩B')=P(A')×P(B')$ [Independent]
$=\frac{5}{7}×\frac{5}{6}=\frac{25}{42}$