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Imagine you are offered the Lotteries below. Please indicate the maximum amount you are willing to pay for the lottery.Question A4bi. Lottery 1.10% chanceWin of 10 $90% chanceWin of 100 $ I am willing to pay at most                                              $ to play the lottery.

Question

Imagine you are offered the Lotteries below. Please indicate the maximum amount you are willing to pay for the lottery.Question A4bi. Lottery 1.10% chanceWin of 10 9090% chanceWin of 100  I am willing to pay at most                                              $ to play the lottery.

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Solution

To determine the maximum amount you should be willing to pay for the lottery, you need to calculate the expected value of the lottery. The expected value is the average amount of money you would expect to win (or lose) per game if you played the game many times.

Here's how to calculate it:

  1. Multiply the value of each possible outcome by the probability of that outcome occurring.
  2. Sum these values.

For Lottery 1:

  • The expected value from the 10% chance of winning 10is0.1010 is 0.10 * 10 = $1.
  • The expected value from the 90% chance of winning 100is0.90100 is 0.90 * 100 = $90.

Add these two values together to get the total expected value:

1+1 + 90 = $91

So, the maximum amount you should be willing to pay to play this lottery is 91.Thisisbecause,onaverage,youwouldexpecttowin91. This is because, on average, you would expect to win 91 each time you play.

This problem has been solved

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