Question

A jar contains 18 apple lollipops, 7 strawberry lollipops, and 10 grape lollipops. Irvin randomly selects a lollipop, gives it to his brother, and then randomly selects another lollipop for himself.

What is the probability that Irvin selected a grape lollipop for his brother and an apple lollipop for himself?
Write your answer as a percent.
Round to the nearest tenth of a percent.

Its not 15, 15.1, 15.25, or 80.

Answer 1

This is a conditional probability: select (grape AND apple)

P(grape) = 10/35

P(apple) = 10/34 (34 because already one was withdrawn from the total)
Probability (grape ∩ apple) =(10/35) x (18/34) = 19/119 = 0.1512 or 15.12%