Probability of Making a Female or Male Only Team From Group of Males and Females.

You have 8 male and 6 females to choose from to form a team of 5. What is the probability of choosing either all males, or all females.

Re: Probability of Making a Female or Male Only Team From Group of Males and Females.

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Originally Posted by

**fcabanski** You have 8 male and 6 females to choose from to form a team of 5. What is the probability of choosing either all males, or all females.

$\displaystyle p=\dfrac{\displaystyle\binom{8}{5}+\binom{6}{5}}{ \displaystyle\binom{14}{5}}=\ldots$ ( Why? )

Re: Probability of Making a Female or Male Only Team From Group of Males and Females.

Thanks. It's an OR probability, so it's the sum of the two events.

Re: Probability of Making a Female or Male Only Team From Group of Males and Females.

Quote:

Originally Posted by

**fcabanski** Thanks. It's an OR probability, so it's the sum of the two events.

And the events are incompatible.