Math  /  Probability

QuestionA raffle ticket costs 3with1winningticketoutof200sold.Thewinnergetsan3 with 1 winning ticket out of 200 sold. The winner gets an 80 prize. What is the expected value of 1 or 6 tickets? What is the expected total raised?
Expected value of 1 ticket: ($80)(1/200)$3=$0.40Expectedvalueof6tickets:(\$80)(1/200) - \$3 = \$0.40 Expected value of 6 tickets: (\80)(6/200)$18=$2.40Expectedtotalraised:80)(6/200) - \$18 = \$2.40 Expected total raised: (200)(\$3) = \$600

Studdy Solution
Calculate the total expected revenue.
Totalexpectedrevenue=$2.60×200=$520Total\, expected\, revenue = \$2.60 \times 200 = \$520
The expected value (to you) of one raffle ticket is -2.60.Theexpectedvalue(toyou)ifyoupurchase6raffleticketsis2.60. The expected value (to you) if you purchase 6 raffle tickets is -15.60. The expected value (to the PTO) of one raffle ticket is 2.60.IfthePTOsellsall200raffletickets,theycanexpecttoraise2.60. If the PTO sells all 200 raffle tickets, they can expect to raise 520 for the classroom supplies.

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