SOLUTION: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are
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-> SOLUTION: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are
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Question 1123858: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are Republicans, and 2 are Independents. What is the probability of electing all Democrats to the board? Answer by ikleyn(52788) (Show Source):
With 12 candidates, there are = = 495 ways to form different groups of 4 persons.
With 6 Democrats, there are = = 15 ways to form different groups of 4 persons.
The probability under the question is the ratio of these two numbers, i.e. = = 0.03030 = 3.03%.
