The Hypergeometric Distribution. Properties Exactly two outcomes Fixed number of trials Outcomes must be mutually exclusive Probabilities are dependent.

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Presentation transcript:

The Hypergeometric Distribution

Properties Exactly two outcomes Fixed number of trials Outcomes must be mutually exclusive Probabilities are dependent

Example 1: Ten people apply for a job as assistant manager of a store. Six have completed college and 4 have not. If the manager selects 3 applicants at random, find the probability that all 3 will have a college degree. HaveWant college No college total

Example 2: There are 48 raincoats for sale at a local store. 12 are black. If 6 raincoats are selected to be marked down, find the probability exactly 3 will be black. HaveWant Black Other color total

Example 2: modified Find the probability that at least 1 raincoat will be black. HaveWant Black Other color total