SOLUTION: If a person rolls doubles when he tosses two dice, he wins $5. FOr the game to be fair, how much should the person pay to play the game?

Question 130427This question is from textbook Statistics
: If a person rolls doubles when he tosses two dice, he wins $5. FOr the game to be fair, how much should the person pay to play the game? This question is from textbook Statistics

Answer by ilana(307) (Show Source): You can put this solution on YOUR website!
You need to know the probability of rolling a double. When you roll two dice, there are 36 possible combinations because each die is 1 of 6 things. 6 of these rolls are doubles, each of the 6 possible pairs. So, you have a 6/36, or a 1/6 chance of rolling doubles. I would think that for a fair game, if you are expected to win 1 out of 6 times, you should get back the money you put in those 6 times. So you would pay $5.00/6 each game, or 83 cents. I am not, however, completely sure if this is the definition of "fair" you use in your class, so if this was not super helpful, I am terribly sorry.
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