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# Probability: Binomial and Hypergeometric distribution

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Manager
Joined: 10 May 2006
Posts: 126
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Probability: Binomial and Hypergeometric distribution [#permalink]  22 May 2006, 09:04
Hi,
I am familiar with Binomial Distribution and know that it is used in the following scenario :-

In each individual test, the probability of A happening is p and not happening is 1-p. What is the probability of A happening exactly k times in n repeated tests?

Formula:
C(n,k) * p^k * (1-p) ^ n-k

Example:
When a coin has tossed, it will show a head at 50% probability and a tail at 50% probability. What is the probability of getting two heads among four tosses?
Ans. C(4, 2) * (1/2) ^2 * (1/2) ^2 = 6/16 = 3/8

Can someone please explain what is Hypergeometric distribution and how do we use it? Please provide an example or a sample illustration.

Thanks!
VP
Joined: 29 Dec 2005
Posts: 1348
Followers: 7

Kudos [?]: 37 [0], given: 0

Re: Probability: Binomial and Hypergeometric distribution [#permalink]  23 May 2006, 10:20
alfa_beta01 wrote:
Hi,
I am familiar with Binomial Distribution and know that it is used in the following scenario :-

In each individual test, the probability of A happening is p and not happening is 1-p. What is the probability of A happening exactly k times in n repeated tests?

Formula:
C(n,k) * p^k * (1-p) ^ n-k

Example:
When a coin has tossed, it will show a head at 50% probability and a tail at 50% probability. What is the probability of getting two heads among four tosses?
Ans. C(4, 2) * (1/2) ^2 * (1/2) ^2 = 6/16 = 3/8

Can someone please explain what is Hypergeometric distribution and how do we use it? Please provide an example or a sample illustration.

Thanks!

did you try here: http://www.gmatclub.com/content/courses ... #appendix1
Manager
Joined: 10 May 2006
Posts: 126
Followers: 3

Kudos [?]: 15 [0], given: 0

Thanks Professor. Didn't know there were study materials on the site!
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