A Blarg Machine looks like a large gray metal box. On the front of the box is a crank, and next to the crank is a small hole. Inside the box are n balls, each with a distinct number from 1 to n. When you turn the crank, a ball is chosen at random, and the chosen ball comes out of the hole. Now suppose you find a Blarg machine. It contains either 100 balls, or 100,000 balls. Thsoe are the only two possibilities, and they have equal probability. You turn the crank, and a ball comes out of the hole. It has a number less than or equal to 100.

What is the probability that the Blarg machine contains 100 balls?

What is the probability that the Blarg Machine contains 100,000 balls? *you must answer both these questions using Bayes' Rule.