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

• Nov 21st 2011, 11:09 PM
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.
• Nov 21st 2011, 11:23 PM
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.

\$\displaystyle p=\dfrac{\displaystyle\binom{8}{5}+\binom{6}{5}}{ \displaystyle\binom{14}{5}}=\ldots\$ ( Why? )
• Nov 21st 2011, 11:30 PM
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.
• Nov 21st 2011, 11:43 PM
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.