lijiaxie lijiaxie

01-09-2022
Mathematics

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A jar contains 12 green marbles and 8 purple marbles. Two marbles are selected at random with replacement. What is the probability that the first green marble selected is green, then the second marble selected green?

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jimthompson5910 jimthompson5910

01-09-2022

Answer: 9/25

Explanation:

12 green + 8 purple = 20 total

12/20 = 3/5 is the probability of getting green

Since the first marble is put back, the second selection has the same probability of getting green. Each selection is independent. This occurs with any replacement situation.

Because we have independent events, the probability of getting two green in a row is (3/5)*(3/5) = 9/25

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