Variations on the Birthday problem:

1. In a group of 8 people, what is the probability that two people's birthdays are in the same month?

2. In a group of 6 people, what is the probability that two people's birthday's are in the same month?

3. If everyone in a group of 4 people rolls a 6 sided die, what is the probability that (at least) two people roll the same number?

4. If everyone in a group of 5 people rolls a 20 sided die, what is the probability that (at least) two people roll the same number?

5. If I roll 3 8-sided dice, what is the probability that (at least) two of the dice will have roll same number?

Answers