Knowee
Questions
Features
Study Tools

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.

🧐 Not the exact question you are looking for?Go ask a question

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,it′s0∗0.40=0 win, it's 0 * 0.40 = 0.
    • For the 100win,it′s100∗0.60=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

Similar Questions

60% chanceLoss of 80 $40% chanceNo loss, no win I am willing to pay at most                                              $ to avoid the lottery.

50% chanceLoss of 25 $50% chanceWin of X $ X should be at least          $ to make the lottery acceptable.

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.

Suppose a lottery ticket costs $1 and the probability that a holder will win nothing is 90%. What must the jackpot be for this to be a fair bet?Group of answer choices1,0001010,000100

In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order the numbers are drawn in does not matter.Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.