I propose a game of chance! 70% of the time you win nothing, 20% of the time you win $10, 9% of the time you win $100, and 1% of the time you win $1000. What is a fair price for this game - how much should you pay to match the expected value of this game?
I propose a game of chance! 70% of the time you win nothing, 20% of the...
In a game of chance, I bet x dollars with probability p, I win y dollars (considering y is the profit). What should x be for this to be a fair game? What is the value of x when y=$10 and p=0.2?
In a game of chance, I bet x dollars. With probability p, I win y dollars. What should x be for this to be a fair game?
I propose to you a game. You roll 2 dice. If the sum of the numbers showing is either 6, or 7, or 8, I win. If it is 2, 3, 4, 5, 9, 10, 11, 12, you win. Since you have lots more possible winning combinations than I do, the rules are that you pay me $2.00 when I win and I pay you $1.00 when you win. If we play this game 30 times, how much do you...
A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2 (your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). What is the expected value of playing the game if you lose your bet 45% of the time?
We are going to play a game of chance. We will roll a die (half of a pair of dice) and if it comes up with one or two spots showing, you win and I will pay you $1.50. If it comes up with three, four, five, or six spots showing, you lose and you will pay me $1.20. So, the probability that you will win is 1/3 and the probability you will lose is 2/3. Your financial benefit will...
In a keno game you choose 4 numbers from 30 and then 10 winning numbers are chosen. If you match all 4 you win $20, if you match 3 you win $15, if you match 2 you win $10 and if you match 1 or 0 you win nothing. What would be the price of the ticket for this to be a fair game?
If you change your keno game to choose 2 numbers from 30 and then 10 winning numbers are chosen. If you match both you win $20, if you match 1 you win $10, if you match 0 you win nothing. What would be the price of the ticket for this to be a fair game?
for a game you pay 2$ to play and roll 1 die. If the number is a 1 or 2 you win 9$. If the number is a 6, you win 3$. If the number is anything else, you receive nothing. FInd the expected value (the fair price to charge to play).
6. (10 pts) A game is fair, if the expected value that you win is zero. Determine whether or not the If you throw exactly two heads in three tosses of a coin you win $40, if following game is fair: not, you pay me $32. This game is because the expected value of your gain is
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?