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An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen

Sagot :

Using it's concept, it is found that the probability that the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The total number of outcomes is given by the combination of k balls from the set of n balls, given by:

[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]

One ball is special, hence the probability the special ball is chosen is given by:

[tex]p = \frac{1}{C_{n,k}}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

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