Mariah is playing a simple game of dice. For every 1, 4, or 6 rolled, Mariah will

win $4. For any other number, she must pay $2. How much money can Mariah

expect to win or lose?

A. Lose $3

B. Win $1

C. Win $3

D. Lose $1

Correct option: B - > win $1

Step-by-step explanation:

Mariah will win for the values of 1, 4 or 6.

These are 3 out of 6 possible values of the die, so the probability of winning is 3/6 = 50%, and the probability of losing is 100% - 50% = 50%

The expected value for winning cases is the value times the probability, so:

E (win) = 4 * 0.5 = 2

The expected value for losing cases is:

E (lose) = - 2 * 0.5 = - 1

So the final expected money is:

E (total) = E (win) + E (lose) = 2 - 1 = 1

So she can expect to win $1

Correct option: B