36. Betting on 11. In a dice game, you win if the two dice come up 11. Otherwise, you lose $1. What should be the profit for winning to make this game fair?
36. Betting on 11. In a dice game, you win if the two dice come up...
Dice game rules: you win $21 if you roll a 1 or a 2, you win $13 if you roll a 3,4,5 or 6. What should you pay to make this a fair game?
You play a game in which you roll a number n of dice. You win if you roll at least one 6, but no 1s or 2s; and, otherwise, you lose. What is the optimal number of dice to roll in this situation? Choose the best answer. A) 1 B) 2 C) 3 D) 4
Problem 9 A single game of craps (a dice game) consists of at most two rolls of a pair of six sided dice. The ways to win are as follows: Win-the first roll of the pair of dice sums to either 7 or 1 (you win, game over, no second roll Win the first roll of the pair of dice does NOT sum to either 7 or 1 but the sum of the second roll is equal to the sum...
Here is a version of the game of crap. First, you roll two well-balanced, six-sided dice; let x be the sum of the dice of the first roll. If x = 7, or x = 11 you win, otherwise you keep rolling until either you get x again, in which case you also win, or until you get a sum of 7 or 11 in which case you lose. Write a function that takes no input, and simulate the game...
Game of dice - fair dice: If I throw a number >= 5 I win. If he throws a number =< 4 he wins. I throw the first dice. Given that he loses(throws a number >4) what is the probability of me winning ? What is the expected number of throws before either of us wins?
Throw two dice. If the sum of the two dice is 6 or more, you win $9. If not, you pay me $30. Step 2 of 2: If you played this game 753 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as negative.
Throw two dice. If the sum of the two dice is 55 or more, you win $30. If not, you pay me $161. Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values. Step 2 of 2: If you played this game 794794 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as...
7. Calculate the expected value of the following game. If you win the game, your wealth will increase by 36 times your wager. If you lose, you lose your wager amount. The probability of winning is 1/38. Calculate the variance of the game.
In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...
Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win. If you win, you win two dollars. On average, you will lose playing this game and each play costs you _______ cents. If you play 200 times, you can expect to lose around _______ dollar .You play roulette betting one dollar on the number 5 each time. The bet pays 35 to 1. You have a 1 in 38 chance to...