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 4, and another is 125.) List the sample space.
2006-10-01 09:48:37 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
{(3), (4), (5), (1,3), (2,3), (1,4), (2,4), (1,5), (2,5), (1,2,3), (2,1,3), (1,2,4), (2,1,4), (1,2,5), (2,1,5)} There are 15 outcomes
2006-10-01 11:34:18 · answer #1 · answered by Anonymous · 0⤊ 1⤋
{{3}, {4}, {5}, {1,3}, {1,4}, {1,5}, {2,3}, {2,4}, {2,5}, {1,2,3}, {1,2,4}, {1,2,5}, {2,1,3}, {2,1,4}, {2,1,5}}
You know that 3, 4, or 5 cannot appear together because they are all 2nd printings and the students stops as soon as she grabs one.
If she grabs 1, then she must grab another until she get 3, 4, or 5.
The most books she would have to grab would be three because if the first two books are 1 and 2, then the next one must be 3, 4, or 5.
2006-10-01 10:22:49 · answer #2 · answered by MsMath 7 · 0⤊ 0⤋
Is the student examining each book in turn, in which case the sample space is the number of books looked at until a second is found ( 1,2 or 3 books) or is the book examined, replaced and another book randomly chosen? In this case the sample space would be 1 to infinity.
2006-10-01 10:04:11 · answer #3 · answered by statstastic 2 · 0⤊ 1⤋
{{3}, {4}, {5}, {1,3}, {1,4}, {1,5}, {2,3}, {2,4}, {2,5}, {1,2,3}, {1,2,4}, {1,2,5}}.
2006-10-01 10:51:04 · answer #4 · answered by Alexandra H 2 · 0⤊ 0⤋