Question
A jury pool consists of 26 people, 14 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male.
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Answer to a math question A jury pool consists of 26 people, 14 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male.
Clarabelle
4.794 Answers
1. Total combinations of selecting any 12 people from 26:
\binom{26}{12} = 9657700
2. Combinations of selecting 12 men from 14:
\binom{14}{12} = 91
3. The probability that the jury is all male:
\frac{\binom{14}{12}}{\binom{26}{12}} = \frac{91}{9657700} \approx 9.42 \times 10^{-6}
Answer: \frac{91}{9657700} \approx 9.42 \times 10^{-6}
2. Combinations of selecting 12 men from 14:
3. The probability that the jury is all male:
Answer:
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