Question

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 If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen

Answer 1

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

$p = \frac{1}{C_{n,k}}$

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:

$C_{n,k} = \frac{n!}{k!(n - k)!}$

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

$p = \frac{1}{C_{n,k}}$

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