Question

the mathematics faculty at a college consists of 5 full professors, 5 associate professors, 8 assistant professors, and 10 teaching assistants (tas). if one faculty member is randomly selected, find the probability of choosing a full professor or a ta. the probability is (type an integer or a fraction. simplify your answer)

Explanation:

Step1: Calculate total number of faculty members

$5 + 5+8 + 10=28$

Step2: Calculate number of full - professors or TAs

$5+10 = 15$

Step3: Calculate the probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{15}{28}$

Answer:

$\frac{15}{28}$