In the game of​ roulette, a player can place a ​$5bet on the number 2 and have a 138 probability of winning. If the metal ball lands on 2​, the player gets to keep the ​$5 paid to play the game and the player is awarded ​$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?     The expected value is ​ ​(Round to the nearest cent as​ needed.)   The player would expect to lose about ​ ​(Round to the nearest cent as​ needed.)

A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.

Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow?   Give your answer in its simplest form.

A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles. You randomly select one marble from the bag. If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1. What is your expected value when playing this game? Round your answer to the nearest cent.

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?

200,000 lottery tickets are sold for $3 each. There is one jackpot prize of $50,000, 25 second prizes of $2000, and 100 third prizes of $40. Find the expected value of your profit when you buy a ticket. Round your answer to the nearest cent.

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.

If you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a spade and the second one is black? (Enter your probability as a fraction.