During class on Friday, for a little “icebreaker” (not that there is much ice to break in Colombia), we discovered that the 26 people in the room all have different birthdays.
1. What’s the probability of this? (Assume that all birthdays are equally likely and Feb. 29 doesn’t exist.)
2. What’s the probability that all 45 participants in the class have different birthdays?
3. Do all 45 students have different birthdays?