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

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• November 22nd 2011, 12:09 AM
fcabanski
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.
• November 22nd 2011, 12:23 AM
FernandoRevilla
Re: Probability of Making a Female or Male Only Team From Group of Males and Females.
Quote:

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.

$p=\dfrac{\displaystyle\binom{8}{5}+\binom{6}{5}}{ \displaystyle\binom{14}{5}}=\ldots$ ( Why? )
• November 22nd 2011, 12:30 AM
fcabanski
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.
• November 22nd 2011, 12:43 AM
FernandoRevilla
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.