An ecologist is studying the effects of predation on the behaviour of the common rabbit. During one hours of observation, she spots a golden eagle with proba- bility 0:2, a common rabbit with probability 0.5, and both with probability 0.15.
(a) Find the probability that during one hour the ecologist sees both a golden eagle and a common rabbit.
(b) Find the probability that during one hour the ecologist sees neither.
(c) Find the conditional probability that the ecologist sees a common rabbit if she has seen an eagle. How can you interpret the result? Compare with the total probability to see a rabbit.