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

**fcabanski** · November 21st 2011, 11:09 PM

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.

**FernandoRevilla** · November 21st 2011, 11:23 PM

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? )

**fcabanski** · November 21st 2011, 11:30 PM

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

**FernandoRevilla** · November 21st 2011, 11:43 PM

Originally Posted by fcabanski

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

And the events are incompatible.

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