Can my tutor please explain and show all there work to answer the following questions.

Problem 5. (8 points) Two balls are drawn from a bag containing 13 yellow and 7 green balls, one at the time, with replacement. Find the probability of selecting a green ball, and then a yellow ball. Problem 6. (8 points) Two balls are drawn from a bag containing 13 yellow and 7 green balls, one at the time, without replacement. Find the probability of selecting a green ball, and then a yellow ball. Problem 7. A local postal carrier distributes first-class letters, advertisements, and magazines. For a certain day, she distributed the following numbers of each type of item: First-class letter Advertisements Magazines Total Home 325 406 403 Business 675 1094 97 Total If mail item is selected at random, find these probabilities: (a) (2 points) The item was delivered to a home. (b) (3 points) The item was delivered to a home, and it was a magazine. (c) (6 points) The item was an advertisement, or it was a magazine. (d) (6 points) The item was delivered to a home, or it was a magazine. (e) (6 points) The item was delivered to a home, given it was a magazine. (f) (6 points) The item was a magazine, given that it was delivered to a home.Problem 8. One company's ID cards consist of 3 letters, followed by 3 digits. How many ID cards can be made if (a) (3 points) Repetitions are allowed? (b) (3 points) Repetitions are not allowed? (c) (3 points) Repetitions are allowed for numbers but not for letters. Problem 9. (a) (3 points) There were 20 participants at the conference. How many ways can you select 3 participants which will receive (identical) gift baskets? (b) (3 points) There were 20 participants at the conference. How many ways can you select 3 participants to receive three different prizes? Problem 10. The Senate of the 117th Congress consists of 102 members: 50 Democrats, 50 Republicans and 2 Independent senators. A new committee is being formed to study ways to benefit the arts in education. If 6 senators are selected at random to form a new committee, find probabilities that (a) (7 points) All 6 senators will be Democrats? (b) (8 points) There will be 2 from each party, including Independents (2 Democrats, 2 Republicans, and 2 Independents)?Problem 1. (3 points) A box contains three balls labeled 1, 2, and 3. A ball is selected at random, and it is not replaced; then a second ball is selected at random. Determine the sample space. Problem 2. Here are the living arrangements of children under 18 years old living in the United States in a recent year.: Both parents Mother only Father only Neither parent 69% 23% 2% 5% Choose one child at random. What is the probability that it is: (a) (2 points) Living with neither parent? (b) (4 points) Living with mother only or father only? (c) (4 points) Not living with both parents? Problem 3. (6 points) In a recent study with 300 patients, 100 were found to be alcoholics, 130 had elevated cholesterol levels, and 87 were both - alcoholics and had elevated cholesterol levels. What is the probability that a randomly selected patient is an alcoholic or he/she has elevated cholesterol levels? Problem 4. (6 points) The numbers show the number of crimes committed in a large city. Find probability of each crime type. Crime Frequency Probability Theft 1,375 Burglary 500 Motor vehicle theft 275 Assault 200 Robbery 125 Rape or homicide 25 Total