A lottery ticket has a grand prize of $31 million. The probability of winning the grand prize is .000000018. Determine the expected value of the lottery ticket.

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Answer:

$0.558

Step-by-step explanation:

The expected value is the sum of the value of each outcome times the chance that it happens. In this case, there are two outcomes:

  1. Win $31 million
  2. Win $0

Then our expected value can be calculated as:

[tex]EV=(31,000,000)(0.000000018)+(0)(1-0.000000018)=0.558[/tex]

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