40% ChanceWin of 0 $60% ChanceWin of 400 $ I am willing to pay at most $ to play the lottery.
Question
40% ChanceWin of 0 I am willing to pay at most $ to play the lottery.
Solution
The expected value of the lottery can be calculated using the formula:
Expected Value = (Probability of Winning * Amount Won) + (Probability of Losing * Amount Lost)
In this case, the amount lost is the amount you pay to play the lottery. Let's denote this as 'x'. The expected value of the lottery is:
Expected Value = (0.40 * 0) + (0.60 * 400) - x
Solving this equation gives:
Expected Value = 240 - x
If you want the expected value to be non-negative (i.e., you don't want to lose money on average), then you should be willing to pay at most $240 to play the lottery.
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