Gambling

Question:

Johnny is walking home. He has $300 to bring home to his mom. While he is walking, a man stops him and gives him a chance to double his money.
The man says, “I’ll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least one die. If you don’t I get your $300.”
What does Johnny do to have the best chance of getting home with the money?

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Solution: He just doesn’t take the bet. This gives him a 100 percent chance of getting the money home.
If he takes the bet with 1 die, he has a 50 percent chance of winning. If he takes the bet with 2 dice he has about a 56 percent chance of winning. If he takes the bet with 3 dice he has about a 42 percent chance of winning.

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