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a city council consists of 7 democrats and 7 republicans. if a committee of 4 people is selected, find the probability of selecting 2 democrats and 2 republicans

User Capriatto
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1 Answer

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20 votes

Answer:

The probability of selecting 2 Democrats and 2 Republicans is 29.36%.

Explanation:

Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:

7/14 x 6/13 x 7/12 x 6/11 = X

0.5 x 0.46 x 0.58 x 0.54 = X

0.0734 = X

0.0734 x 100 = 7.34 x 4 = 29.36

Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.

User Pfg
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