at a casino, you throw a fair 4 sided dice whose sides are labeled 1, 2, 3 and 4.   If you land on a one, you get thirty dollars.  If you land on a two, you get ten dollars.  If you land on either a three or four, you owe the casino eight dollars. If you repeatedly play this game, what would your "winnings" be on average, in dollars?

Six friends play poker, each starting with $5. All bets are in multiples of $0.10. How many ways are possible for the redistribution of the $30 after the night of poker?

Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:

A game involves drawing a single card from a standard deck. The player receives $10 for an ace, $5 for a king, and $1 for a red card that is neither an ace nor a king. Otherwise, the player receives nothing. If the cost of each draw is $2, should you play? Explain your answer mathematically.

Toward the end of a game of Scrabble you hold the letters D,O,G and Q.  You can choose three of these four letters and arrange them in order in how many different ways?

2. You play a game in which 40% of the time you win $3 and 40% of the time you lose $5 and 20% of the time you win $1. Please show your work.

You are on a game show. You are given the choice of four