#4 A bag contains five green marbles and seven yellow marbles. You randomly select three marbles. What is the probability that all
three marbles are green when (a) you replace each marble before selecting the next marble, and (b) you do not replace each
marble before selecting the next marble? Write each probability as a decimal rounded to the nearest thousandth. Then
compare the probabilities,
i
a. When you replace each marble before selecting the next marble, the probability is 0.25
b. When you do not replace each marble before selecting the next marble, the probability is 0.08
To the nearest tenth, you are about 3.1 times more likely to select three green marbles when you replace each marble before you select the
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next marble.