A species of bird comes in three colors: red, blue, and green. Twenty percent are red, 30% are blue, and 50% are green. Females preferred to blue and blue to green and mate with the best male they find.
1. Females pick the better of the first two males they meet. What is the probability a female mates with a green bird? What did you have to assume about independence?
2. Females pick the better of the first two males they meet. What is the probability a female mates with a blue bird and the probability a female mates with a red bird?