Aplayer rolls a die and receives the number of dollars equal to the number on the die except when the die shows a 6. if a 6 is rolled, the player loses $6. if the game is to be fair, what should be the cost to play?

We expect to win k dollars with probability 1/6 if k is between 1 and 5, and we lose 6 dollars with probability 1/6. So, the expected value for this random variable is

So, you win on average 1.5 dollars, and if that's the cost to play, the game is fair.

the answer is: the length is 5/6 yards.

give me a or a 5 star rating if this is correct!

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