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$P(x)=\frac{(_mc_x)(_{N-m}C_{n-x})}{_NC_n}$

- 1.What is Hypergeometric Distribution?
- 2.
**Identifying Hypergeometric Distributions**

Identify which of the following experiments below are Hypergeometric distributions?

i. Negative Binomial – A 12 sided die (dodecahedra) is rolled until a 10 comes up two times. What is the probability that this will take 6 rolls?

ii. Binomial – An urn contains 5 white balls and 10 black balls. If 2 balls are drawn with replacement what is the probability that one of them will be white?

iii. Hypergeometric - A bag contains 8 coins, 6 of which are gold galleons and the other 2 are silver sickles. If 3 coins are drawn without replacement what is the probability that 2 of them will be gold galleons?

- 3.
**Determining the Hypergeometric Distribution**

A bag contains 8 coins, 6 of which are gold galleons and the other 2 are silver sickles. If 3 coins are drawn without replacement what is the probability that 2 of them will be gold galleons? - 4.
**Determining the Cumulative Hypergeometric Distribution**

Ben is a sommelier who purchases wine for a restaurant. He purchases fine wines in batches of 15 bottles. Ben has devised a method of testing the bottles to see whether they are bad or not, but this method takes some time, so he will only test 5 bottles of wine. If Ben receives a specific batch that contains 2 bad bottles of wine, what is the probability that Ben will find at least one of them?

4.

Discrete Probabilities

4.1

Probability distribution - histogram, mean, variance & standard deviation

4.2

Binomial distribution

4.3

Mean and standard deviation of binomial distribution

4.4

Poisson distribution

4.5

Geometric distribution

4.6

Negative binomial distribution

4.7

Hypergeometric distribution

4.8

Properties of expectation

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