1) You roll two 6-sided dice (values 1-6) and one 20-sided die (values 1-20). What is the expected value of the sum of all three rolls? Write your answer as a decimal, rounded to the nearest tenth if necessary.

2) You flip a fair coin twice. If heads is worth 1 point and tails is worth 0 points, compute the expected value of the experiment. (Round your answer to the nearest tenth, if necessary.)

3) You flip a fair coin twice. If heads is worth 1 point and tails is worth 0 points, compute the variance of the experiment. (Round your answer to the nearest tenth, if necessary.)

(Hint: use your answer to the previous question.)

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