Suppose that you visit Shire, and find that 28% of Hobbits believe in the existence of Elves, 16% believe in the existence of Ents, and 9% believe in the existence of both Elves and Ents.
You come across a Hobbit:
i) What is the probability that he will believe in Ents given that he believes in Elves?
ii)Suppose you come across two Hobbits:
What is the probability that they will both believe in Elves? (Assume Independence)
Personal Question: I thought probabilities always add up to 100% or 1, however these add up to 53. Does it not matter? Supposing the question asks, find the probability that the hobbit(assuming you come across one) does not believe in Ents, do you subtract .16 from 1? I just need clarification. Thank you!