Knowee
Questions
Features
Study Tools

In a game, you have 1/36 probability of winning $100 and a 35/36 probability of losing $2. What is your expected value?

Question

In a game, you have 1/36 probability of winning 100anda35/36probabilityoflosing100 and a 35/36 probability of losing 2. What is your expected value?

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

Solution

The expected value is calculated by multiplying each outcome by the probability of that outcome, then summing these values.

In this case, the possible outcomes are winning 100andlosing100 and losing 2.

The expected value from winning is: 1001/36=100 * 1/36 = 2.78 (approximately)

The expected value from losing is: -235/36=2 * 35/36 = -1.94 (approximately)

Adding these together gives the total expected value: 2.782.78 - 1.94 = $0.84

So, the expected value of the game is $0.84. This means that on average, you can expect to win 84 cents each time you play this game.

This problem has been solved

Similar Questions

In American roulette, the wheel has 38 number: 00, 0, 1, 2, 3, ..., 35, 36 marked on equally spaced slots. If a player bets $10 on a single number and wins, then the player gains $350 otherwise the player loses the $10.This means, that X is either $350 or -$10.What is the expected value of this game?Group of answer choices$0.53$18.95-$18.95-$0.53

Suppose you’re playing a game using two dice. Upon throwing the two dice simultaneously, if their sum equals 4, then you get ₹1,000. If their sum is anything other than 4, you lose ₹100. What is the expected earning/loss in this game?Note:1. Round off your final answer to two decimal places. If your answer is 1.333333, write 1.33 in the box.2. If the expectation is a loss, make sure you write a negative number. For instance, −2.5 is a valid answer.

Now, can you calculate the expected value of X (where X is the money won by the player after playing the game once)?X (Money won after playing once) Probability+150 0.133−10 0.867You can use this probability distribution to find the answer

Two players, A and B.A goes first. They roll a dice that has random outputs between 1 and 30. The player who gets the higher number wins, and the loser pays the winner the amount that the winner gets on his dice.1. What is the expected winnings?2. Would you prefer being Player A or Player B? Why?

Rahul wants to play a poker game. The entry charge for the game is ₹2,000, which is non-refundable, and the probability that Rahul will win a poker game is 3%. The prize money is ₹50,000. If Rahul wins, he gets the prize money. If he loses, he gets nothing. What is his expected earning/loss per game? Note:1. Round off your final answer to two decimal places. If your answer is 1.333333, write 1.33 in the box.2. If the expectation is a loss, make sure you write a negative number. For instance, −2.5 is a valid answer.

1/3

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.