Question

4. Five applicants (Jim, Don, Mary, Sue, and Nancy) are available for two identical jobs. Because all applicants are equally qualified, a supervisor randomly selects two applicants to fill these jobs. Find the probability of each of the following events a Both males are selected. b At least one male is selected c At least one female is selected.

Answer 1

Number of applicants = 5

Number of males = 2

Job Positions = 2

a) Probability of selecting both males =

$= \frac{2*1}{5*4} = \textbf{0.1}$

b) Probability of selecting atleast one male = P(one male) +P(two male)

$= \frac{2*3}{5*4}+\frac{2*1}{5*4} =0.3+0.1 =\textbf{0.4}$

b) Probability of selecting atleast one female = P(one female) +P(two female)

$= \frac{3*2}{5*4}+\frac{3*2}{5*4} = 0.3+0.3 = \textbf{0.6}$