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the pto is selling raffle tickets to raise money for classroom supplies. a raffle ticket costs $3. there is 1 winning ticket out of the 230 tickets sold. the winner gets a prize worth $70. round your answers to the nearest cent. what is the expected value (to you) of one raffle ticket? $ calculate the expected value (to you) if you purchase 12 raffle tickets. $ what is the expected value (to the pto) of one raffle ticket? $ if the pto sells all 230 raffle tickets, how much money can they expect to raise for the classroom supplies?

Sagot :

If PTO the pto sells all 230 raffle tickets, money that can be raised is -$620

Define expected value.

The expected value is calculated in statistics and probability analysis by multiplying each conceivable outcome by the likelihood that each outcome will occur, then adding up all of those values. Investors can select the scenario most likely to provide the desired result by calculating anticipated values. The probability is multiplied by the value of each outcome to get the expected value.

As 230 tickets are sold, the probability of being a winner is = 1/230

The prize value is $70 or (1/230)×70

= 0.304

The cost of the ticket you paid = $3

Hence, the expected value of one ticket = 0.304 - 3

= -2.695 or rounding off we get -2.70

the expected value if you purchase 12 raffle tickets

=  -2.70 × 12 = -9.3

If the PTO sells the 230 tickets, then the expected value is 230 times the expected value for a single ticket:

EV = 230 × -2.70 = -$621

We should have the exact same as selling the 230 tickets:

230 × 3 = $690

Minus the $70 price:

$690 - $70 = $620

There is a difference of $1, which happens because we rounded the value of the expected value (the actual one was $2.70)

To learn more about the calculation of expected value, visit:

https://brainly.com/question/23361629

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