Question

a die has red, blue and one white face. when the die is rolled, a red result wins, a blue result, and a white result. what is the "expected return" for one roll of this die.​

Answer 1

To calculate the expected return for one roll of this die, we need to determine the probability of each outcome and multiply it by its respective return.

Given:

Red result wins: This occurs on one of the faces, so the probability is 1/3. The return is 1 (winning).
Blue result: This occurs on one of the faces, so the probability is also 1/3. The return is 0 (no win or loss).
White result: This occurs on the remaining face, so the probability is 1/3. The return is -1 (losing).