For the following problem, write out the sample space S , give the value of n(S) , and tell whether the outcomes are equally likely

For the following problem, write out the sample space S , give the value of n(S) , and tell whether the outcomes are equally likely. Then write the indicated events in parts a – c in set notation.

A Finite student must take a 3-question True/False quiz before class over the day’s discussion material. But the student did not read the textbook section and must guess the answer to each question. So each answer is equally likely to be correct or wrong.

1. a)  The student gets three answers wrong.
2. b)  The student gets exactly two answers correct.
3. c)  The student gets only the first answer correct.

The numbers 15, 16, 17, 18, 19 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement. Find the probability of each of the following.

1. a)  Both numbers are even.
2. b)  One of the numbers is even or greater than 17.
3. c)  The sum is 33 or the second number is 16.