anonymous 2 years ago the senate has 17 women senators. If you randomly select 3 different senators to visit, what is the probability that: a) all of the senators would be women? b) two of the senators would be women? c)at least one of the senators would be a woman?

1. anonymous

looked good to me

2. anonymous

you can use $\frac{17}{100}\times \frac{16}{99}\times \frac{15}{98}$ or $\frac{\binom{17}{3}}{\binom{100}{3}}$ you will get the same answer

3. anonymous

first method is quicker second method generalizes better for example 2, female, one male $\frac{\binom{17}{2}\binom{83}{1}}{\binom{100}{3}}$