Justin R. answered • 11/21/20

University professor and winner of multiple teaching awards

The probability of male is simple. M + F = 100 and we know (from the question) that F = 40. So 60 out of 100 students is male, hence the probability of a randomly selected student being male is 60% (0.6).

Likewise, 30 of the 100 are in mathematics, so 30% is the probability.

There is extraneous information given in the question (that 10 of the 40 women are in mathematics). This would only be needed if you were asked the probability of selecting a woman in mathematics, or a man in mathematics.