Class_Problems_10 - Problem 1 On a certain day there is a...

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Problem 1. On a certain day, there is a 25% chance it will rain and a 30% chance it will snow, otherwise it will be clear. Given that there is some precipitation, what is the conditional probability that it is snow? Problem 2. A fair coin is flipped twice. What is the conditional proba- bility of getting two heads given a) the first flip was a head? b) at least one head occurred? Problem 3. Jeremy thinks that if he studies for his probability midterm the night before the exam he will get an A with 4 5 probability and that if he goes out to party he will get an A with 1 3 probability. His friends will come over to take him out to the party with probability 2 3 and otherwise he will stay home and study. What is the probability that he goes out and gets an A ?
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Problem 4. If n people are present in a room, what is the probability that at least two people in the room share a common birthday? Problem 5. A deck of 52 playing cards is shuffled and dealt into 4 hands of 13 cards. What is the probability that each hand has an ace?
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