Question

From a group of 3 men and 2 women, two persons are selected at random. Find the probability that atleast one woman is selected.

• A. $\frac{1}{5}$
• B. $\frac{7}{10}$
• C. $\frac{2}{5}$
• D. $\frac{5}{6}$

Answer 1

The correct option is B $\frac{7}{10}$

$n\left(S\right){=}^5{C}_2=10n\left(E\right)={(}^2{C}_1{\times }^3{C}_1)+{(}^2{C}_2)=7\therefore P\left(E\right)=\frac{7}{10}$