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Ask your students this: If it rains at midnight, what is the probability that it will be sunny in 72 hours?What the best way to introduce congruences in a number theory course? I am looking for something which will have an impact. What are the really interesting applications of congruent mathematics?
Cute, but "in 72 hours" can reasonably be interpreted as "72 hours from now". Better wording "If it rains at midnight, what is the probability it will be sunny 72 hour later?Ask your students this: If it rains at midnight, what is the probability that it will be sunny in 72 hours?