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

1. ## 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.

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

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? )

3. ## 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.

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

Originally Posted by fcabanski
Thanks. It's an OR probability, so it's the sum of the two events.
And the events are incompatible.