Q28. A local fraternity is conducting a raffle where 50 tickets are to be sold-one per customer. There are three prizes to be awarded. If the four organizers of the raffle each buy one ticket, what is the probability that the four organizers win a. all of the prizes? b. exactly two of the prizes? c. exactly one of the prizes? d. none of the prizes?

A club has a membership of 6 freshmen, 2 sophomores, 3 juniors and 4 seniors.  A committee of 4 is chosen.  Find each as a fraction or a decimal rounded to 2 decimal places. a.  What is the probability that the committee consists of all freshmen?  b.  What is the probability that the committee consists of 2 juniors and 2 seniors? c.  What is the probability that the committee consists of all sophomores?

A. If 6% of the population of grass in Kentucky is bluegrass, find the probability that in a sample of 150 acres, there are exactly 6 acres of Kentucky bluegrass. B. Find the probability that there are at most 2 acres of Kentucky bluegrass.

B. Determine whethor the events are mutually exclusive or not mutually exclusive. Then, find the probability. Show your solution. 1. Mario has 45 red chips, 12 blue chips, and 24 white chips. What is the probability that Mario randomly selects a red chip or a white chip? Solution: 2. Of 240 students, 176 are on the honor roll, 48 are members of the varsity team, and 36 are in the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the varsity team? Solution: 3. Ruby's dog has 8 puppies. The puppies include white females, 3 mixedcolor females, 1 white male, and 2 mixed-color males. Ruby wants to keep one puppy. What is the probability that she randomly chooses a puppy that is female and white? Solution: C. Determine whether the event is dependent events (DE) or independent events (IE). Solve the following problems. Show your solution. 1. A bag contains 6 black marbles, 9 blue marbles, 4…