SOLUTION: bob and fred play the following game. Bob rolls a single die. if the result is the number 1,2,3,4,5 bob must pay fred the number of dollars indicated by the number rolled. if a 6 i

Question 183061: bob and fred play the following game. Bob rolls a single die. if the result is the number 1,2,3,4,5 bob must pay fred the number of dollars indicated by the number rolled. if a 6 is rolled fred must pay bob $57 dollars.
find freds expectation?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
bob and fred play the following game. Bob rolls a single die. if the result is the number 1,2,3,4,5 bob must pay fred the number of dollars indicated by the number rolled. if a 6 is rolled fred must pay bob $57 dollars.
find freds expectation?
---------------------------------
Random variable values: 1,2,3,4,5,-57
corresponding probabilities are each 1/6
-------------------------------------------
Expected "winnings": (1/6)(1+2+3+4+5-57) = (1/6)(-42) = -$7.00
===============================================================
Cheers,
Stan H.
RELATED QUESTIONS
Bob takes 2 hours longer to build a table than Fred takes. If they work at the same rate... (answered by richwmiller)

Bob is renting an apartment so he can get out on his own! He's excited he gets to stay in (answered by ikleyn)

Bob can mow the lawn in 5 hours, and Fred can mow the lawn in 4 hours. How long will it... (answered by josgarithmetic)

If 16 people are in a room and they shake hand with everyone else in the room Once, how... (answered by sudhanshu_kmr)

the ratio of bobs age is 4:13. if bob is 18 years younger than fred find the ages of both (answered by ewatrrr)

Fred is twice as old as Bob. Kim is 2 years older than Bob. Jane is 5/4 as old as Kim. (answered by MathTherapy,MathLover1)

Alice and Bob play three chess games. Alice is 10 times more likely to win a game than... (answered by ikleyn,greenestamps)

Bob can fill the pool in 15 minutes. Fred can fill the pool in 10 minutes. How long will... (answered by scott8148)

In a simple game, a six-sided die is rolled 4 times. If all four rolls result in either... (answered by solver91311)