20 girls are randomly divided into subgroups containing 10 girls each hte probability that 2 tallest girls in different groups?
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Answer:
(n-1/2n-1)
Step-by-step explanation:
Say the tallest boys are A and B, and the groups are picked by lining them all up and dividing the first n from the second n. Then WLOG A is in the first n. Then it is equally likely for B to be in any of the remaining 2n−1 spots, of which n−1 would place him in the same group as A. So the probability is
(n-1/2n-1).
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