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Mathematics, 19.05.2020 16:58 PaulJames

Jamal and his friend are playing a game. In each round, they randomly hold up between 1 and 5 fingers, inclusive. For Jamal to win, the sum and the product of the number of fingers must be even. His friend wins all other rounds.

What is the probability that Jamal wins a round?

After a few rounds, Jamal decides not to choose randomly, but only to hold up either 2 or 4 fingers. What is the probability that he wins now?

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