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40% ChanceWin 0 $60% ChanceWin 100 $ I am willing to pay at most                                              $ to play the lottery.

Question

40% ChanceWin 0 6060% ChanceWin 100

I am willing to pay at most

$ to play the lottery.

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Solution

The amount you should be willing to pay to play the lottery can be calculated using the concept of Expected Value in probability.

Here's how to calculate it:

  1. Multiply each outcome by the chance of it happening.

    • For the 0win,its00.40=0 win, it's 0 * 0.40 = 0.
    • For the 100win,its1000.60=100 win, it's 100 * 0.60 = 60.
  2. Add up these values.

    • 0+0 + 60 = $60.

So, the most you should be willing to pay to play this lottery is 60.Thisisbecause,onaverage,youcanexpecttowin60. This is because, on average, you can expect to win 60 each time you play.

This problem has been solved

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