How do I solve the following probability problem?
Suppose you have ten marbles: four blue and six red. You choose three marbles without looking. Determine the probability that two marbles are red and the third is blue.
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P(red) = 6/10 because there are 6 out of 10 red marbles
P(red) = 5/9 because there are 5 out of 9 red marbles
P(blue) = 4/8 because there are 4 out of 8 blue marbles
The probability that all three will occur is the product of these individual probabilities.
6/10 * 5/9 * 4/8 = 120/720 = 1/6
The probability is 1/6, or `~~` 16.7%.
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