10% of a competition’s contestants like dogs. 60% of them like rabbits. 90% of them like cats. Liking each of these animals is independent. That means, for example, that whether or not you like dogs does not affect whether you like cats. If we choose a random contestant: a. What is the probability of this contestant

liking cats and dogs, but not rabbits?

b. What is the most likely outcome of this contestant’s preferences? As in, which animals does s/he like, and which does s/he not like?