3. A club has 6 Male and 9 Female members. A committee of three members is chosen Find these probabilities: a) Only the first person chosen is a Male. b) P (second is a Female / first is a Male) c) All are Males. d) All are Females.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Probability Problems - Club Members**

*Problem Statement:*

A club has 6 Male and 9 Female members. A committee of three members is chosen.

Find these probabilities:

a) Only the first person chosen is a Male.

b) P (second is a Female / first is a Male)

c) All are Males.

d) All are Females.

*Explanation:*

- **Part (a):** Calculate the probability that only the first person chosen is a Male.
- **Part (b):** Calculate the conditional probability that the second chosen member is a Female given that the first chosen member is a Male.
- **Part (c):** Calculate the probability that all three chosen members are Males.
- **Part (d):** Calculate the probability that all three chosen members are Females.

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Transcribed Image Text:--- **Probability Problems - Club Members** *Problem Statement:* A club has 6 Male and 9 Female members. A committee of three members is chosen. Find these probabilities: a) Only the first person chosen is a Male. b) P (second is a Female / first is a Male) c) All are Males. d) All are Females. *Explanation:* - **Part (a):** Calculate the probability that only the first person chosen is a Male. - **Part (b):** Calculate the conditional probability that the second chosen member is a Female given that the first chosen member is a Male. - **Part (c):** Calculate the probability that all three chosen members are Males. - **Part (d):** Calculate the probability that all three chosen members are Females. ---
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