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counting and probability intermediate

Problem

Six green balls and four red balls are in a bag. A ball is taken from the bag, its color recorded, then placed back in the bag. A second ball is taken and its color recorded. What is the probability the two balls are the same color?
Solution
We could have either two greens or two reds. The probability of drawing two greens is . The probability of drawing two reds is . So the answer is .
Final answer
\dfrac{13}{25}