Question

Kyle 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, Kyle receives 15 points. OPTION B: If the sum of the rolls is a multiple of 6, Kyle receives 42 points. Which statement best explains the option he should choose?

Answer 1

Answer:

Kyle should choose Option B. The mathematical expectation of this option is 7 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

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