Answer:
P(S) = 0.5162 or 51.62%
the probability that they are of the same gender is 0.5162 or 51.62%
Step-by-step explanation:
The probability that the two selected students are of the same gender P(S) is;
P(S) = Probability that they are both male P(M) + probability that they are both female P(F)
P(S) = P(M) + P(F) .........1
Given;
Proportion of male = 59% = 0.59
Proportion of female = 1-0.59 = 0.41
P(M) = 0.59×0.59 = 0.3481
P(F) = 0.41 × 0.41 = 0.1681
From equation 1;
P(S) = 0.3481 + 0.1681
P(S) = 0.5162 or 51.62%
the probability that they are of the same gender is 0.5162 or 51.62%
