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counting and probability intermediate
Problem
There are 5 blue chips and 3 yellow chips in a bag. One chip is drawn from the bag. That chip is placed back into the bag. A second chip is then drawn. What is the probability that the two selected chips are of different colors? Express your answer as a common fraction.
Solution
If we draw a blue chip and then a yellow chip, or if we draw a yellow chip and then a blue chip, then our draws will be different colors. So, the probability is .
Final answer
\frac{15}{32}