Question

A college library has five copies of a certain text on reserve. Two copies (1 and 2) are first printings, and the other three (3, 4, and 5) are second printings. A student examines these books in random order, stopping only when a second printing has been selected. One possible outcome is 5, and another is 213. (Enter your answers as a comma-separated list. Enter Ø for the empty set.)(a) List the outcomes in SS={______________}b) Let A denote the event that exactly one book must be examined. Whatoutcomes are in A?A = {______________}(c) Let B be the event that book 5 is the one selected. What outcomes arein B?B= {____________________}(d) Let C be the event that book 1 is not examined. What outcomes are inC?C ={_________________________}

Answer 1

1. Outcome of SS = {3,4,5,13,14,15,23,24,25,123,124,125,213,214,215}

2. Outcome of A = {3,4,5}

3. Outcome of B = {5,15,25,125,215}

4. Outcome of C = {3,4,5,23,24,25}

Step-by-step explanation:

1.

Let SS = Sample Space = Total possible events i.e. Event that a student stopped after picking a book from second printing (with no condition attached)

This means that there are tendencies that the student

1. Picks directly from the second prints: 3,4,5

2. Picks 1 book from first prints then second prints; 13,14,15,23,24,25

3. Picks 2 books from first prints the second prints : 123,124,125,213,214,215

Total number of possible outcomes = 15

Outcomes = {3,4,5,13,14,15,23,24,25,123,124,125,213,214,215}

2.

Let A = Event that exactly one book must be examined

This means that there are tendencies that the student picks directly from the second prints: 3,4,5

Total number of possible outcomes = 3

Outcome = {3,4,5}

3.

Let B = the event that book 5 is the one selected

This means that, the student didn't pick book 3 and 4.

Total number of outcomes = 5

Outcomes = {5,15,25,125,215}

4.

Let C = the event that book 1 is not examined

This means that the student didn't pick book 1

Total number of possible outcomes = 6

Outcome = {3,4,5,23,24,25}