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.
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