You go to a casino and play a game.  You throw a fair 4 sided die whose sides are labeled 1, 2, 3 and 4.   If you land on a 1, you get $30.  If you land on a 2, you get $10.  If you land on either a 3 or a 4, you owe the casino $8. If you play this game repeatedly, what would your "winnings" be on average, in dollars?

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…

if you work for a non-profit and you want to (and its legal) to run your own lottery. Suppose  you need to collect at least $25,000.  Design a lottery to allow you to achieve your goal.  HOw many tickets would you sell?  How many prices ( and for how much ) would you have? How much would you charge per ticket?

If a company has a total of 18,000,000 shares and an investor owns 14% of the company. How many shares do they own?