Suppose that there is a coffee shop in an office(Which also has interns). It is observed that out of the people that visit the coffee shop in a week 25% were female members, 40% were male members, 25% were female interns and 40% were male interns. These people are randomly asked about the coffee taste.
What is the probability that the first 6 people who are asked about the taste are all office members and not interns?
And what is the probability that the first intern that we talk to is a female?