Sarah has 1 red cube, 1 green cube, 1 purple cube, and 1 black cube. If Sarah picks two items from the bag, without replacing, what is the probability she will pick a red cube and then a black cube?

Given:

Sarah has 1 red cube, 1 green cube, 1 purple cube, and 1 black cube.

Sarah picks two items from the bag without replacement.

We need to determine the probability that she will pick a red cube and then a black cube.

Probability:

The probability to pick a red cube is

The probability to pick a black cube without replacement is

The probability to pick a red cube and then a black cube is given by

Substituting the values, we have;

Thus, the probability that Sarah will pick a red cube and then a black cube is

step-by-step explanation:

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