At an animal shelter, 55% of all cats are female. Additionally, 40% of all cats at the shelter are tabby cats. Furthermore, 25% of the tabby cats are female.
a. Define events, and translate the information provided in the problem.
b. What is the probability that a randomly selected cat is both tabby and female
c. What is the probability that a randomly selected cat is tabby or female?
d. What is the probability that a randomly selected cat is tabby, given that it is female?