Suppose that a customer research prganization has studied the service under warranty provided by the 200 ire dealers in a large city, and that heir findings are summarized in the ollowing table. If one of these tire dealers is randomly selected, find the probability of choosing a name-brand dealer. * Good Poor service service under under warranty (B) warranty (A) Name-brand tire dealers (C) Off-brand 64 16 tire dealers 42 78 (D)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![Suppose that a customer research
organization has studied the service
under warranty provided by the 200
tire dealers in a large city, and that
their findings are summarized in the
following table. If one of these tire
dealers is randomly selected, find the
probability of choosing a name-brand
dealer.
Good
Poor service
service
under
under
warranty (B)
warranty (A)
Name-brand
tire dealers
(C)
Off-brand
tire dealers
(D)
64
16
42
78](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F425ba983-086b-45e9-a906-3125faddb23e%2F5f0e987e-e84a-43f2-bdcc-4dc603497d81%2Fx6vps7k_processed.jpeg&w=3840&q=75)
![If one of these tire dealers is
randomly selected, find the
probability of choosing a name-brand
dealer given that it will provide good
service under warranty *
O 64/80
O 64/106
O 106/200
O 64/200
If one of these tire dealers is
randomly selected, find the
probability of choosing a name-brand
dealer given that it provides poor
service under warranty
16/80
O 16/200
O 80/200
O 16/94
O O O
O O O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F425ba983-086b-45e9-a906-3125faddb23e%2F5f0e987e-e84a-43f2-bdcc-4dc603497d81%2Frcsqgiv_processed.jpeg&w=3840&q=75)
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