Question

8. A class consists of 8 men and 7 ladies. Two students were selected randomly to represent the class in a debate. Find the probability that the two students selected are: (a) both ladies; (b) both men; (c) of the same sex; (d) of different sexes.​

Answer 1

Explanation:

8+7 = 15 Total Students

A. 7/15 or 46%

B. 8/15 or 53%

C. there are 2 different sexes in this problem so around 50% or 1/2

D. also 50%

Answer 2

Total number = 8+7 = 15

Favorable outcome = 7

(both ladies) = 7/15

Favorable outcome = 8

(both men) = 8/15

Favorable outcome = 8+7 = 15

(same sex) = 15/15 = 1

Favorable outcome = 8+7 = 15

(different sex) = 15/15 = 1