A lottery has a grand prize of $100,000, two runner-up prizes of $12,500 each,

A lottery has a grand prize of $100,000, two runner-up prizes of $12,500 each, four third-place prizes of $2000 each, and six co nsolation prizes of $200 each. If 200,000 tickets are sold for $1 each and the probability of any one ticket winning is the same as that of any other ticket winning, find the expected return on a $1 ticket. (Round your answer to two decimal places.)

Expert Solution

Explanation: expected return of a lottery ticket equals the sum of the probabilities of winning each prize:

probability of winning $100,000 = 1 / 200,000 = 0.000005 x $100,000 = $0.50

probability of winning $12,500 = 2 / 199,999 = 0.000005 x $12,500 = $0.125

probability of winning $2,000 = 3 / 199,997 = 0.000005 x $2,000 = $0.03

probability of winning $200 = 1 / 199,994 = 0.000005 x $200 = $0.001

total expected value = $0.50 + $0.125 + $0.03 + $0.001 = $0.656 ≈ $0.66

$0.66

Junaid answered 2 years ago

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