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The probability that both marbles are yellow marbles is 1/25
The given parameters are:
Yellow = 2
Total = 10
The probability of selecting the first yellow marble :
P(Yellow) = 2/10
When the marble is returned, we have:
Yellow = 2
Total = 10
The probability of selecting the second yellow marble :
P(Yellow) = 2/10
The required probability is:
P = 2/10 * 2/10
Evaluate
P = 4/100
Simplify
P = 1/25
Hence, the probability that both marbles are yellow marbles is 1/25
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