If is confirm that two thirds of the students of a college are females, calculate the probability that on entering the college, the first two students one meet are

Question

(i) the same gender
(ii) different gender

Answer 1

m - m ... 1/3 * 1/3 = 1/9

m - f ... 1/3 * 2/3 = 2/9

f - m ... 2/3 * 1/3 = 2/9

f - f ... 2/3 * 2/3 = 4/9

(i) 1/9 + 4/9 = 5/9

(ii) 2/9 + 2/9 = 4/9