A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 15 possible results for the second step. How many possible outcomes are there for this experiment?
A) 60
B) 9
C) 15
D) 19

Question

Quizplus · Accepted Answer

There are 2 possible outcomes for the first step. If the first step is "A", there are 4 outcomes for the second step, giving 2 * 4 = 8 outcomes. If the first step is "B", there are 15 outcomes for the second step, giving 2 * 15 = 30 outcomes. However, since the first step is either "A" or "B", the total number of outcomes is 4 + 15 = 19.

A Probability Experiment Has Two Steps