Populations of tigers occupy geographically separated patch, but may move from one patch to another if habitat become unsuitable. One of two patches is chosen at random and surveyed. Patch 1 is occupied with probability 1/5 and Patch 2 is occupied with probability 1/10.
(a) the probability that the selected patch is occupied
(b) the probability that Patch 2 was the one selected given that the selected patch
is occupied.