you own 7 cds. you want to randomly arrange 5 of them in a cd rack. what is the probability that the rack ends up in alphabetical order? be sure to leave your answer as a fraction in order to earn credit.

Respuesta :

There is a 1/6720 probability that the rack ends up in alphabetical order.

What are examples and probability?

  • It is based on the probabilities that something could happen. The logic underpinning probability serves as the foundation for theoretical probability.
  • The theoretical likelihood of receiving a head, for instance, is 12 when a coin is tossed.

From given information we have to find probability that the rack ends up in alphabetical order.

n=8

r=5

For alphabetical order we use permitation to find how many way we can done.

nPr= n!/(n - r )!

nPr! = 7!/( 7 -5)!  = 25201

25201 we can arrage alphabetically.

Now probability that the rack ends up in alphabetical order.

= 1/25201

There is a 1/6720 probability that the rack ends up in alphabetical order.

Learn more about probability

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