HOW ALL YOUR WORK. 1. A coin is flipped and then a number from 1 to 4 is randomly selected from a bag. a) Determine the number of sample points in the sample space. b) Construct the tree diagram showing all the possible outcomes. c) List the sample space. d) Determine the probability that a head is flipped and an odd is selected. e) Determine the probability that a tail is flipped.2. Maria and Amanda play the following game. Maria draws one card from a standard 52- card deck. If she draws a King, Amanda gives her $6. If not, she gives Amanda $3. a) Determine Maria's expectation. b) Determine Amanda's expectation. 3. Jeff is opening a new coffee shop. In the first year, he estimates that there is a 25% chance that he will make $20,000, a 40% chance that he will break even, and 35% chance that he will lose $30,000. Determine Jeff's expected value for the first year of his business. 4. A store has a bin full of smartphone chargers of various colors. There are 8 res, 10 white, 6 blue, and 12 pink chargers in the bin. If Kat randomly selects one of the chargers, determine a) The probability that Kat selects a pink charger. b) The probability that Kat does not select a pink charger. c) The odds against Kat selecting a pink charger. d) The odds in favor of Kat selecting a pink charger.5. Each individual letter of the word TENNESSEE is placed on a piece of paper and all 9 pieces of paper are placed in a hat. If one letter is randomly selected from the hat, determine the probability that a) The letter E is selected. b) The letter E is not selected. c) The letter T or E is selected. d) The letter M is selected. 6. Mike wins $3500 in a singing contest and invests the money in a 5-year CD that pays 4% interest compounded monthly. How much money will Mike receive when he redeems the CD at the end of the 5 years? 7. Diane plans to remodel her kitchen in 5 years. How much should Diane invest in a money market account that pays 2.1% interest compounded quarterly in order to have $8000 in 5 years.8. Determine the effective annual yield for $1 invested for 1 year at 4.75% compounded semiannually. 9. Nick borrowed $2500 for 5 months from a bank using a 2% discount note. a) How much interest did Nick pay the bank for the use of its money? b) How much did he receive from the bank? c) What was the actual rate of interest he paid? 10. Jada borrows $45,000 for 2 years with a simple interest rate of 1.5% from SBA. a) How much will Jada pay for the use of the money (calculate the simple interest)? b) Determine the amount of money, principal plus interest, Jada must repay the SBA after 2 years.