Question

A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are selected at random. The first selected book is placed on 2- hr reserve, and the second book can be checked out overnight.

a) Suppose that copies 1 and 2 are hardcover books, whereas copies 3 and 4 are softcover books. Let A denote the event that exactly one of the copies selected is a hardcover book.What outcomes are contained in A?

b) What is the probability that exactly one of the books selected is hardcover?

Answer #1

Result:

A college library has four copies of a certain book; the copies are numbered 1, 2, 3, and 4. Two of these are selected at random. The first selected book is placed on 2- hr reserve, and the second book can be checked out overnight.

a) Suppose that copies 1 and 2 are hardcover books, whereas copies 3 and 4 are softcover books. Let A denote the event that exactly one of the copies selected is a hardcover book. What outcomes are contained in A?

A: { (1,3),(1,4), (2,3),(2,4)}

b) What is the probability that exactly one of the books selected is hardcover?

Number of ways Select 2 from 4 books, 4c2 = 6

Number of ways Select exactly one of the books selected is hardcover = 4

The required probability = 4/6 = 0.6667

Eight balls numbered
1
to
8
are placed in a bag.
Some of the balls are grey and some are white.
The balls numbered
3
,
4
, and
6
are grey. The balls numbered
1
,
2
,
5
,
7
, and
8
are white.
A ball will be selected from the bag at random.
The
8
possible outcomes are listed below.
Note that each outcome has the same probability.
1
2
3
4
5
6
7
8...

Eight balls numbered
1
to
8
are placed in a bag.
Some of the balls are grey and some are white.
The balls numbered
3
,
4
, and
6
are grey. The balls numbered
1
,
2
,
5
,
7
, and
8
are white.
A ball will be selected from the bag at random.
The
8
possible outcomes are listed below.
Note that each outcome has the same probability.
1
2
3
4
5
6
7
8...

Scenario: University Library System
Requirements
The library contains books and journals as library material. It
may have several copies of a given book or journal. All library
material has an id #, a title and one or more authors. Further the
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regular items. Referenceonly items can be loaned for 2hrs and can’t
be removed from the library. Regular items may be borrowed by any
library member for three weeks. Only members...

Let a ball be drawn from an urn containing four balls, numbered
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= {1, 2}, F = {1, 3}, G = {1, 4}, whether E, F, G are independent
with each other?

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1.How many possible orderings of letters ABCDEFG are there?
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ABCDEFG?
3.How many subsets of size 4 are there of the letters
ABCDEFG.
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1)Three independent reviewers are reviewing a book. let
A1 denote the event that a favorable review is submitted
by reviewer, I = 1, 2, 3. Assume that A1, A2,
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P(A1) = 0.6, P(A2) =0.57, and
P(A3) = 0.4.
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After all students have left the classroom, a statistics
professor notices that four copies of the text were left under
desks. At the beginning of the next lecture, the professor
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Consider a fictional price index, the College Student Price
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Part 1
The three most popular options on a certain type of new car are
a built-in GPS (A), a sunroof (B), and an automatic transmission
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