# college math

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A community 5K run will award \$50 to the winner. 60 people enter the race, and they each pay an entry fee of \$20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent

Can anyone help me get started on this one?

• college math -

Random-gain values: 50-20 = 30 ; -20
Probabilities: 1/60 ; 59/60
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E(gain)= 30(1/60)-20(59/60) = 1/2 - (59/3)= (3-59)/6 = -\$9.33
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A fair price would be 20-9.33 = \$10.67

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