There are 5 black balls and 9 red balls in an urn. If 4 balls are...

There are 5 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that exactly 3 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.

Expert Solution

An understanding of the hypergeometric distribution is needed as a prerequisite to understand the solution to the given problem. To brief, a hypergeometric distribution is used as a finite population equivalent to a binomial distribution. It is thus generally used when objects are selected at random one after the other, without replacement, similar case as given in the problem. The selection without replacement is done from a finite population consisting of k success and N-k failures, where N=number of trials/events. The solution is thus attached below:

orchestra answered 2 years ago

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