In the game of roulette, a player can place a $5 bet on the number 7 and have a 1/38 probability of winning. If the metal ball lands on 7, 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? If you played the game 1000 times, how much would you expect to lose?

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $5; otherwise, you lose $2. What is your expected value for this game? (Round your answer to the nearest cent.)$

In the game show “Deal or no Deal?”, a contestant must first choose 5 boxes out of 22 to be opened. Each box contains a different amount of money. Once a box has been opened, its contents can no longer be won. For each question, explain your reasoning carefully: (a) What is the probability that the contestant chooses the most valuable box? (b) What is the probability that the contestant chooses at least one of the top 5 most valuable boxes

You flip two fair coins. If both coins land heads you win $2. Otherwise you lose $1. What is the expectation of this game? Round your answer to the nearest cent.

In the game of roulette, one of the simplest bets is to wager on red. Here if you bet $1 and the ball lands on a red number in the wheel, then you will win $2 (i.e. profit $1). If the ball lands on a black or green space in the wheel, then you win nothing. What is the expected value on this bet? See the wheel below and show the work that you did to complete this problem. No work = no credit.

In the game of​ roulette, a player can place a ​$5 bet on the number 20 and have a 138 probability of winning. If the metal ball lands on 20​, 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? If you played the game 1000​ times, how much would you expect to​ lose?

Carlie is betting on a game in which each bet has an expected value of -$0.56. This implies A. Carlie will win $0.56 every time she plays the game. B. Carlie will lose $0.56 every time she plays the game. C. if Carlie plays the game many times, on an average Carlie should expect to lose about $0.56 each game.Is it correct answer C?

You toss a coin three times. If you toss heads exactly two times, you win $2. If you toss heads all three times, you win $8. Otherwise, you lose $3. What is the expected payout for one round of this game? Round your answer to the nearest cent. Enter an expected loss as a negative number.