At the Step Right Up carnival, a game is played where three coins are tossed: a quarter, a dime, and a nickel.  The game costs $2 to play.  If the three coins all come up heads, you win $5.  If at least 30 cents come up heads, you win $2.  Otherwise, you lose.  Is this a fair game?

Carl was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost one fourth of his remaining money on another question. Then he lost $300 on another question. Then he lost two-thirds of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $800 left. How much did he have before his losing streak began?

After a late-night of math studying, you and your friends decide to go to your favorite tax-free fast-food Mexican restaurant, Burrito Chime. You decide to order off of the dollar menu, which has 8 items. Your group has $19 to spend (and will spend all of it). How many different orders are possible? Explain. (The order in which the order is placed does not matter - just which and how many of each item that is ordered.) How many different orders are possible if you want to get at least one of each item? Explain. How many different orders are possible if you don't get more than 4 of any one item? Explain.

Please help with #32

In American roulette, the wheel contains the numbers 11 through 3636, alternating between black and red. There are two green spaces numbered 00 and 0000. A player places a bet of $0.50$⁢0.50 on red to play the game. If the ball lands on red, the player gets a $0.50$⁢0.50 for winning and receives the money back. If the ball does not land on red, then the player simply loses the $0.50$⁢0.50 placed on the bet. If the player places the same bet on red 99 times, what is the player’s expected winnings? Round your answer to the nearest cent.

Catalina participates in a game that consists of spinning a roulette with 6 segments of the same size numbered from 1 to 6. The roulette randomly stops at a numbered segment.This is the game: Catalina spins the wheel only once. She wins $ 1 if the wheel stops at number 1, $ 3 if the wheel stops at number 2, $ 5 if the wheel stops at number 3, and $ 7 if the wheel stops at number 4. She loses $ 1.25 if roulette stops at 5 or 6. (a) Calculate the expected value of participating in the game.____ pesos b) What can Catalina expect in the long run after playing several times?1) Catalina can expect to earn money.She can expect to earn ___ pesos per spin of the roulette wheel. 2) Catalina can expect to lose money.She can expect to lose ___ pesos per spin of the roulette wheel. 3) Catalina can expect to draw (she neither wins nor loses money)

Billy and Joe are buddies that think they can outsmart the casino by splitting each other’s profits. They decided to play a game by the name of Baccarat. They both have $1200 and their goal is to leave once they double their money. In Baccarat, the Banker's or Player’s hand will win 45% of the time. Ties win 10% of the time. The goal in baccarat is to have the hand you’re betting on, either the player or the banker, be the best hand of the two dealt. The winning hand is the one with a score where the final digit is the closest to nine. Face cards are worth zero, and aces count as one. There are 8 decks in a shoe. Billy and Joe came up with a betting strategy/sequence and assigned “teams”. Billy will ALWAYS bet on “Player” whereas Joe will always bet on “Banker”. The sequence goes as follows: Billy: 12113 Joe: 21221Billy: $100, $200, $100, $100, $300 = $900Joe: $200, $100, $200, $200, $100 = $900The remaining $300 that Billy and Joe have will go towards taking turns on betting $5 on the…

A game costs $2.00​ to play. In the game, the player picks a card at random from a standard deck of cards. If the card is a face card, the player receives $6.00​, if the card is not a face card, the player receives nothing.

A raffle is going to be held in which the winner will get $200. If 1000 tickets are to be sold, what is the fair price for a ticket?

c) The discount on a coat is $23 which is a 12.5% discount, Find the original price and the sale price 8. Solve each problem. Round your answer to the nearest hundred. a) Alex got an annual raise by $4200, which is 6% raise. What was Alex's original salary and what is it now? b) If Ben wins 3 out of 5 computer games that he plays, how many games would he