1) A traditional die is a cube with each of its six sides representing the numbers from 1 to 6. Mr. Dicey customized a die by replacing each number with its reciprocal (reciprocal of x is 1/x ). What is the expected value if you roll the customized die for 6 times? 2) A game is played by throwing 3 dice. You will win in this game if the summation of the scores of these 3 dice is 3, 4, 17, 18.

What is the variance of your expected values?

3) Two dice are rolled. [A die has six sides, each representing the score from 1 to 6]

What is the expected value if you roll these two dice for 6 times?