Question: A student is given the following probability problem: A person picks three marbles in a row with replacement from a jar of 10 marbles (2

A student is given the following probability problem:

"A person picks three marbles in a row with replacement from a jar of 10 marbles (2 green, 6 yellow, 1 red, 1 white). What is the probability that all three marbles are yellow?"

The student responds that the probability is 3/10 because you are picking three marbles (thus, 3 in the numerator), out of 10 total marbles.

Explain why the student's logic is wrong and explain the correct way to calculate the probability for this problem. Use the terms/phrases: number of desirable outcomes, number of trials and multiplication rule in your answer.

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