You do not know which floor you are each going to what is


a. You're in a 30 story building with 2 elevators. You enter one elevator and Professor Dubin enters another elevator. You do not know which floor you are each going to. What is the probability that you end up on the same floor?

b. You roll 2 fair 6-sided dice. What is the probability that you get doubles (what is the probability that the numbers on both dice are the same)?

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