A person must pay $ 5 to play a certain game at the casino. Each player has a probability of 0.15 of winning $ 13, for a net gain of $ 8 (the net gain is the amount won 13 minus the cost of playing 5). Each player has a probability of 0.85 of losing the game, for a net loss of $ 5 (the net loss is simply the cost of playing since nothing else is lost). What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places. Expected Value = $ If a person plays this game a very large number of times over the years, do we expect him/her to come out financially ahead or behind? behind ahead
Expected Value for the player =expected gain -cost of the ticket =13*0.15-5 = -3.05
If a person plays this game a very large number of times over the years, we expect him/her to come out financially behind (since expected value is negative)
A person must pay $ 5 to play a certain game at the casino. Each player...
A person must pay $ $ 8 to play a certain game at the casino. Each player has a probability of 0.21 of winning $ $ 14, for a net gain of $ $ 6 (the net gain is the amount won 14 minus the cost of playing 8). Each player has a probability of 0.79 of losing the game, for a net loss of $ $ 8 (the net loss is simply the cost of playing since nothing else...
In the game of roulette, when a player gives the casino $1 for a bet on the number 24, the player has a 37/38 probability of losing $1 and a 1/38 probability of making a net gain of $35. (The prize is $36, but the player's $1 bet is not returned, so the net gain is $35.) If a player bets $1 that the outcome is an odd number, the probability of losing $1 is 20/38 and the probability of...
(6(4 pts) A player (Joe) goes to a casino and plays a fair game. The player may wager any amount of money. There is a 0.5 probability of winning. If the player wins, then the player get twice the amount of the bet in winnings. If the player loses, the player gets nothing. Think of betting on a coin toss. If you win you double your money, if you lose you lose your money. This is a "fair" game because...
In the game of roulette, a player can place a $ 5 bet on the number 30 and have a 1/ 38 probability of winning. If the metal ball lands on 30, the player gets to keep the $ 5 paid to play the game and the player is awarded an additional $ 175 . Otherwise, the player is awarded nothing and the casino takes the player's $ 5. Find the expected value E(x) to the player for one play...
In the game of roulette, a player can place a $5 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6 , the player gets to keep the $5 paid to play the game and the player is awarded an additional $175 . Otherwise, the player is awarded nothing and the casino takes the player's $5 . What is the expected value of the game to the player? The expected value...
In the game of roulette, a player can place a $8 bet on the number 9 and have a 1/ 38 probability of winning. If the metal ball lands on 9, the player gets to keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. Find the expected value E(x) to the player for one play of the game. If x...
What is the expectation (or expected value) of the following: Consider a casino game where the player rolls a 6-sided dice and receive $10 if the roll is 1 or 6, and $0 for any other roll. Let X the amount won after playing the game once. Additionally, what’s the lowest amount the casino can charge to play the game and still make a profit on it over time?
Consider a play of the casino game `Quick Draw'. In this game, a player pays $11 to play. The player picks one card from a standard pack of 52 cards (i.e. there are four A’s and four K’s in a standard pack of 52 cards). If the player gets an Ace, they win $50 but loose the amount they paid to play (the profit is revenue minus cost); if the player selects a King, they win $30 but loose the...
In the game of roulette, a player can place a $10bet on the number 25and have a 1/38probability of winning. If the metal ball lands on 25, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350.Otherwise, the player is awarded nothing and the casino takes the player's $10. Find the expected value E(x) to the player for one play of the game. If x is the gain to a...
4. [6 marks] Consider a play of the casino game 'Quick Draw'. In this game, the player pays $10 to play. He/she picks onē card from the standard deck of 52 cards (i.e. four A's, four K's, etc.). If the player selects an "A", he/she wins $50 (i.e. the profit is $40); if the player selects a "K", he/she wins $30 (i.e. the profit is $20). Otherwise, the player wins nothing and also loses the bet of $10. Let the...