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The bag has three red balls, five purple balls and eight blue balls. What is the probability that if two are picked at random with replacement, what is the probability that both are purple? Round your answer to four decimal placesA.0.0352B.0.3125C.0.0977D.0.0833

Question

The bag has three red balls, five purple balls and eight blue balls. What is the probability that if two are picked at random with replacement, what is the probability that both are purple? Round your answer to four decimal placesA.0.0352B.0.3125C.0.0977D.0.0833

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Solution

To solve this problem, we need to use the concept of probability. Since the selection is with replacement, the probability does not change after the first selection.

The total number of balls is 16 (3 red + 5 purple + 8 blue). So, the probability of selecting a purple ball is 5/16.

Since we are selecting 2 balls, and we want both to be purple, we multiply the probabilities together.

So, the probability that both balls are purple is (5/16) * (5/16) = 25/256.

Rounding to four decimal places, the probability is approximately 0.0977.

So, the correct answer is C. 0.0977.

This problem has been solved

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