each item is used exactly once. For example one way to answer this problem is A4, B2, C1, D3. 1. What are all the possible ways she could answer this problem? 2. The actual solution is A1, B2, C3, D4. If Elena was equally likely to guess any answer, use the sample space to find: 1. The probability of getting exactly O items matched correctly. 2. The probability of getting exactly 1 item matched correctly. 3. The probability of getting exactly 2 items matched correctly. 4. The probability of getting exactly 3 items matched correctly. 5. The probability of getting exactly 4 items matched correctly.

One professor grades homework by randomly choosing 5 out of 11 homework problems to grade. How many different groups of 5 problems can be chosen from the 11 problems? Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded? (Round your answer to four decimal places.) Silvia did 7 problems. How many different groups of 5 did she complete?

Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixtgraders, 3 seventh graders, and 5 eighth graders on the team. Mrs. Donovan will randomly select two team captains. What is the probability that both captains will be eighth graders? Make sure to write your answer as a reduced fraction.

Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets at least two red ones, given that she gets at least one green one.

A school newspaper reporter decides to randomly survey 17 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 11% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. How many of the 17 students do we expect to attend the festivities?

can you answer 27a, b, c