SOLUTION: A group of 10 individuals contains 3 people with blood type 'O'. 4 with blood type 'A', and 3 with blood type 'B'. What is the probability that a random sample of 5 will contain on

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Question 1194494: A group of 10 individuals contains 3 people with blood type 'O'. 4 with blood type 'A', and 3 with blood type 'B'. What is the probability that a random sample of 5 will contain one person with blood type '0', 2 with blood type 'A', and 2 with blood type 'B'?
Answer by Boreal(15235) About Me  (Show Source):
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10C5 is the denominator, the number of samples of 5 taken from 10 items
the numerator is 3C1*4C2*3C2
the fraction is 3*6*3/252=54/252 or 0.2143
Notice how the left part of the "C" adds to 10 and the right part adds to 5.