1) How many ways are there to arrange the letters of the word PESACH? Show work.

2) You roll a die 4 times. What is the probability that all 4 rolls will land on a "5". Show work.

3) You roll a die 4 times. What is the probability that none of the rolls will land on a "5". Show work.

4) A company estimates that it has a 30% chance of winning a bid for a contract. It will cost them $10,000 in consultant fees to prepare the bid. If they win they will bring in $40,000. What is the expected gain or loss to the company if they bid on the contract? Show work.

5) Here are the rules for a particular card game: Choose a card at random. If you choose a heart you win $10. If you choose a queen of spades you win $15.If you choose a spade you lose $5. What is the expected value of this card game? Show work.