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Jerry has either a $1 coin or a $2 coin in his right pants pocket. He is unsure which, but he believes he is 5

Jerry has either a $1 coin or a $2 coin in his right pants pocket. He is unsure which, but he believes he is 5 times more likely to have a $2 coin than a $1 coin. He then adds a $2 coin to his right pants pocket and walks over to the local convenience store. He wishes to buy a newspaper, which costs $3.50. Assume the only money he has is in his right pants pocket. He fishes one of the two coins out of his right pants pocket and pulls out a $2 coin. Given this, what is the probability that Jerry will have enough money to buy the newspaper?

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