Two people will be randomely selected from a group of 8 men

Two people will be randomely selected from a group of 8 men and 5 women. What is the probability that they will BOTH be of the SAME gender?

Solution

No. of ways to select two people = 13C2 = 78

No. of ways to select two men = 8C2 = 28

No. of ways to select two women = 5C2 = 10

probability that they will BOTH be of the SAME gender = (28 + 10) / 78 = 38 / 78 =0.4872