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A bag contains 5 red marbles, 4 black marbles, 2 purple marbles, and 1 pink marble. Sam picks a marble, replaces it, and picks again. What is the probability of selecting a red marble and then a purple marble?​

User FireGM
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1 Answer

6 votes

Answer: 5/72

Explanation:

There are a total of 12 marbles in the bag.

The probability of selecting a red marble on the first pick is 5/12, and the probability of selecting a purple marble on the second pick is 2/12 or 1/6.

Since Sam replaces the marble back in the bag after the first pick, the probability of selecting a red marble on the first pick is not affected by the second pick.

Therefore, the probability of selecting a red marble and then a purple marble is the product of the probabilities of each event:

5/12 × 1/6 = 5/72

Thus, the probability of selecting a red marble and then a purple marble is 5/72.

User Laurie Cheers
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