(General multiplication rule)

1. It's about time for the annual cupcake festival in Avocado Park and this year there are 14 varieties available. Sarkis and his

husband Ramon attend naturally, and Ramon grabs them 4 cupcakes to try at random, unaware that one of the 14 is a poison ivy cupcake intended for goats. What is the probability that all 4 of Ramon's selections are safe to eat?

(Combinatorics)

2. The Avocado Park Development Council has a total of 70 members, including 30 humans, 18 goats, 12 dogs, 2 cats and 8

peafowl. A working committee on affordable housing is being formed and is to consist of 4 humans, 2 goats, 2 dogs, a cat and a peafowl. How many committees can be made with those conditions?

3. 8.Hadey is hiring servers for his House of Hummus and receives applications from 17 qualified applicants, 5 of which are goats. He has six positions available. Suppose that the species is not a factor in the hiring process

a.)What is the probability that Hadey will hire no goats at all?

b.) What is the probability that Hadey will hire all 5 of the

goats?

c.) What is the probability that Hadey will hire exactly 4 of

the goats?

d.) What is the probability that Hadey will hire AT LEAST 4 of

the goats?