Hello, Amine!

Do you know the Expected Value formula?

They have already done the hard work for you.

Elena plays a game where she tosses two dice.

If the sum is 6, she wins 3 points. (The probability of the sum being 6 is 5/36)

If the sum is greater than 6, she wins 1 point (The probability of the sum being greater than 6 is 21/36).

If the sum is less than 6, she loses k points. (The probability of the sum being less than 6 is 10/36).

Find the value of k for which Elena's expected number of points is zero.

. .

We have: .

. . . .

Therefore: .