I have 5 pinks, 4 yellow, 3 orange, and 3 red starbursts. What is the probability that I will randomly pick a yellow starburst, put it back in the bag, and then randomly pick an orange starburst?

A. 7/15

B. 4/75

C. 4/15

D. 3/15

B. 4/75

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each trial:

The probabilities of picking each startbust are the same, so each event is independent.

Independent events:

Two events, A and B, we have that:

In this question:

Event A: Yellow starburst on the first trial.

Event B: Orange starbust on the second trial.

4 yellow out of 5+4+3+3 = 15 starbursts.

This means that

3 orange out of 15 starbursts.

This means that

Probability of A, then B:

So the correct answer is:

B. 4/75

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