The Birthday Paradox

The video explains the birthday paradox, which reveals that in a group of 23 people, there's a more than 50% chance that two people share a birthday. This counterintuitive result is derived from calculating the probability of people not sharing a birthday and multiplying these probabilities for each new person entering the room. The video demonstrates that with 57 people, the probability of shared birthdays exceeds 99%, illustrating the surprising nature of probability in large groups.

Why might it be surprising that two people in a group of 23 are likely to share a birthday?

What is the probability of sharing a birthday with 57 people in the room?