Suppose that 30% of students are freshmen and 50% of students are male. assuming that these two designations are independent, what is the probability that a randomly selected student will be a male freshman?

The probability that two independent events happen is the product of the individual events: 30%*50% = 15%.

We are asked to find the probability that a randomly selected student will be a male freshman.

The student being a male is one condition and student being a freshman is another condition.

the student should be a male AND a freshman

in probability when we are given the AND function, then both conditions should be fulfilled, then the two probabilities should be multiplied

Probability of student being male - 50 %

probability of student being freshmen - 30%

probability that student being both male and freshman is = 50% x 30 % = 15%

therefore answer is 15%