A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red,
and 1 yellow gumballs. Pierre selects two gumballs from the
bag, without replacement. What is the probability that Pierre
selects a yellow and a pink gumball?

Explanation:

1. Sample space

The total number of gums is 2 + 3 + 4 + 2 + 1 = 12.

The number of different outcomes, i.e. the size of the sample space, for the selection of two gumballs from 12 gums is 12 × 11 = 132 different combinations.

2. Number of combinations for the desired outocome.

There are four possible combinations in which one ball is pink and one is yellow:

3. Probability

By definition:

Therefore:

f

step-by-step explanation:

f