probability and counting
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At the first meeting of a committee to plan a Northern California pow-wow, there were 3 women and 3 men from the Miwok tribe, 2 men and 3 women from the Hoopa tribe and 4 women and 5 men from the Pomo tribe. If the ceremony subcouncil consists of 5 people, and it is randomly selected, find the probabilities that the subcouncil contains the following:
a. 3 men and 2 women
b. exactly 3 Miwoks and 2 Pomos
c. 2 Miwoks, 2 Hoopas, and 2 Pomos
d. exactly 3 Hoopas
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Solution Summary
This provides an example of working with how many ways there are to organize a committee and finding probability.
Solution Preview
See the following table:
Women Men
Miwok tribe 3 3
Hoopa tribe 3 2
Pomo tribe 4 ...
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