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ying Expressions for Finding Probability
The math club needs to choose four people for a
committee
to represent it at the school board meeting.
The club
consists of 14 members, made up of nine girls
and five boys.
Which counting method should you use to find the
compound
probability? Explain.
What is the total number of possible outcomes?
What is the probability that two girls and two boys are
on the committee
? Round your answer to two decimal
places.



Answer :

Final answer:

The hypergeometric method is used for compound probability of selecting a committee from two different groups. The total possible outcomes can be determined by calculating combinations, and the probability of specific selections can be found by multiplying individual probabilities.


Explanation:

Hypergeometric method is used to find compound probability for choosing a committee from two distinct groups like boys and girls. In this case, choosing two girls and two boys from a math club consisting of 9 girls and 5 boys involves a compound probability.

Total number of possible outcomes can be calculated by selecting 4 members out of 14, which is represented by the combination formula and equals 1001.

Probability of selecting 2 girls and 2 boys on the committee is found by calculating the probability of selecting 2 girls out of 9 and 2 boys out of 5, then multiplying these probabilities together.


Learn more about Probability and Combinations here:

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