1. Answer the following questions on probability distributions:
a) A game is played by rolling two dice. If the sum of the dice is either 2 or 11 then you win $2. If the sum is a 5, then you win $1. All other sums you win zero. If the cost of the game is 75 cents, is the game fair?
b)A game consists of rolling a pair of dice 10 times. For each sum that equals either three, four, or five on the two dice you win $2. If it costs $5 to play the game, is it a fair game?
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