SOLUTION: 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 t

Algebra ->  Probability-and-statistics -> SOLUTION: 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 t      Log On


   



Question 1139780: 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(52832) About Me  (Show Source):
You can put this solution on YOUR website!
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This probability is the ratio (the fraction), where the numerator is  C%5B6%5D%5E4 = %286%2A5%29%2F%281%2A2%29 = 15,


and the denominator is  C%5B12%5D%5E4 = %2812%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%29 = 495,


so the answer is  15%2F495 = 1%2F33.

Solved.