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Alex, Mel, and Chelsea play a game that has 6 rounds. In each round there is a single winner, and the outcomes of the rounds are independent. For each round the probability that Alex wins is $\frac{1}{2}$, and Mel is twice as likely to win as Chelsea. What is the probability that Alex wins three rounds, Mel wins two rounds, and Chelsea wins one round? Aligns with S-CP.B.9.
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binomial coefficient notation, alex, mel, and chelsea play a game, cc by-nc-sa 4.0, creative commons, creative commons attribution-noncommercial-sharealike 4.0, illustrative mathematics, illustrative mathematics: s-cp.b.9: alex, mel, and chelsea play a game, illustrative mathematics: s-cp: alex, mel, and chelsea play a game, s-cp, s-cp.b.9, basic probability theory, event probability
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