Mathematics, 06.05.2020 22:13 lizbethmillanvazquez

Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn.

OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points.

OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points.

Which statement best explains the option he should choose?

Simon should choose Option A. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

Simon should choose Option B. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

Simon should choose Option B. The mathematical expectation of this option is 4 and is the greater mathematical expectation of the two options.

Simon should choose Option A. The mathematical expectation of this option is 6.25 and is the greater mathematical expectation of the two options.

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Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides a...

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