Question

Vera has challenged Alexey to a round of Marker Mixup. Marker Mixup is a game where there is a bag of 5 red markers numbered 1 through 5, and another bag with 5 green markers numbered 6 through 10

Alexey will grab 1 marker from each bag, and if the 2 markers add up to more than 12 he will win If the sum is exactly 12, he will break even, and If the sum is less than 12, he will lose $6

What is Alexey's expected value of playing Marker Mixup?

Answer 1

−$2.40

Explanation:

correct on khan

Answer 2

Explanation:

The total possble combinations = 5 * 5 = 25 ways.

The number of ways to get exactly 12

= 2,10 3,9 4,8 5,7 = 4 ways.

The ways to get > 12

= 3,10 4,9 4,10 5,8 5,9 5,10 = 6 ways.

So the number of ways to get < 12 = 25 - 4 - 6 = 15 ways.

Expected value

= 4(0) + 6(x) + 15(-6)

I have written x as you have not said how much he gets if he wins.