Question: Consider a room with two people. 1. Using the Counting Principle, how many pairs of birthdays are possible? 2. How many of these pairs of

Consider a room with two people.

1. Using the Counting Principle, how many pairs of birthdays are possible?

2. How many of these pairs of birthdays have the property that both dates are different?

3. Determine the probability that two people do not share the same birthday.

4. Determine the probability that two people have the same birthday.

Consider a room with only three people.

5. Using the Counting Principle, how many triples of birthdays are possible?

6. How many of these triples have the property that all three dates are different?

7. Determine the probability that all three people do not have the same birthday.

8. Determine the probability that at least two of the three people have the same birthday.

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