Frank 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, Frank receives 12 points.
OPTION B: If the sum of the rolls is a multiple of 4, Frank receives 24 points.
Which statement best explains the option he should choose?
Frank should choose Option B. The mathematical expectation of this option is 5 and is the greater mathematical expectation of the two options.
Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.
Frank should choose Option A. The mathematical expectation of this option is 5 and is the greater mathematical expectation of the two options.
Frank should choose Option A. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.
