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.
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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