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Question: 1. Six dice are rolled. What is the probability that they total at least 11?

2. Here is the famous Birthday Problem. Suppose N people are in a room. What is the probability that at least two have the same birthday?

3. Two coins are flipped.

(a) What is the probability that the first one came up heads?

(b) What is the probability that the first one came up heads, if we know that at least one came up heads?

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