Answer and Step-by-step explanation:
(a) Since the student have to stop when he gets to w softcover book, then the sample space should always stop at either 3 or 4 or 5. If the students examines the books randomly and stops at a softcover book, here are the possible ways he could carry this out,
S = {3, 4, 5, 13, 14, 15, 23, 24, 25, 123, 124, 125, 213, 214, 215}
2. Since only one book is to be examined then the student must check only one softcover book and end the examining. To do this, either he examines just 3 or 4 or 5. Therefore,
A = {3, 4, 5}
3. We need to pick the possibilities from the sample space that shows that the examining ended at book 5. Therefore,
B = {5, 15, 25, 125, 215}
4. We need to pick possibilities from the sample space that shows that book 1 was not examined. Therefore,
C = {3, 4, 5, 23, 24, 25}