Probability of 10 kids separating into teams A and B I know that the sample space is $10 \choose 5$, because we're picking 5 people from 10 to be on each team. However, if there are 5 girls and 5 boys, what is the probability that one team will be girls only? I know that it should be $(1/2)^5$ because we're picking one girl each time, correct? But is there a way to do this with combinatorics?

HINT: $$\frac{How\ many\ ways\ can\ you\ have\ a\ team\ of\ all\ girls}{How\ many\ ways\ can\ you\ pick\ the\ teams} $$
