Consider the 20 students in our class, 12 of them are engineers, 5 are female and 2 are female engineers. a) If we randomly pick a student in our class, what is the probability that we would pick a male student who is not an engineer?b) If we randomly pick two students, what is the probability that they are both female?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 11CT: Three people are chosen at random from a group of live men and ten women. What is the probability...
Question

Consider the 20 students in our class, 12 of them are engineers, 5 are female and 2 are female engineers.

a) If we randomly pick a student in our class, what is the probability that we would pick a male student who is not an engineer?
b) If we randomly pick two students, what is the probability that they are both female?

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