You have 200 dice in a bag. One of the dice has a six on all sides so it will land on a six every time you roll it. The other 19
9 are normal dice with six sides, each with a different number. You randomly pick one of the dice from the bag and roll it three times. It lands on six all three times. What is the probability it is the die that always lands on six and what is the probability it is a normal die?
