Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcome is found. Each player gets a chance to guess the correct sum, and the player that guesses the correct sum wins. Dustin decides to guess a sum of six. Melanie decides to guess a sum of seven. Which player made the better decision

Question

Mathematics

Gael Randolph

24 August, 23:56

Dustin and Melanie are playing a game, where two standard, six-sided number cubes are rolled, and the sum of their outcome is found. Each player gets a chance to guess the correct sum, and the player that guesses the correct sum wins. Dustin decides to guess a sum of six. Melanie decides to guess a sum of seven. Which player made the better decision

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Answers (1)

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Jack Fitzpatrick · Answer 1

Melanie.

Step-by-step explanation:

The possible ways of getting a 6 are (3,3), (2,4), (4,2), (1,5) and (5,1).

That is 5 ways.

The possible ways of getting a 7 are (1,6), (6,1), (5,2), (2,5), (3, 4), (4,3).

That is 6 ways.

So Melanie made the better decision.