Math
A math class has 20 students who choose a topic from a list for an essay. How big pool is necessary for the probability of at least one duplicate to drop below fifty percent?
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The pool size necessary for the probability of at least one duplicate to drop below fifty percent would be 400 unique topics. Each topic would need to be assigned to two students for a duplicate pair of essays for the probability to drop below fifty percent. Therefore, since you have 20 students, you will need 400/20=20 topics to ensure that the probability of a duplicate pair drops below fifty percent.
