A friend of mine asked me to solve a problem for her, but I didn't know how to start, can someone please explain how I would go about solving this problem? Here's the problem:
The ratio of males to female in a room is 9:11. A third of the men have black hair, and half of the women have black hair and the rest of them have blonde hair.
8 people are chosen at random.
a). What is the probability that these eight people are all male?
b). What is the probability that there are exactly five females?
c). What is the probability that there are at least two black-haired people?
I thought that it was an easy question until I got to the last part and then I started to question whether or not I got the rest of it right. Please let me know how to solve it so that I can do that.
The most annoying thing about this question is the ratio.