wolf
New member
- Joined
- Nov 28, 2013
- Messages
- 29
A really popular "birthday paradox" is "how many people are needed for a 50% chance that 2 have the same birthday"? The answer is 23 and the mathematics for that calculation can be found at my website: https://www.1728.org/birthday.htm and a great many other websites.
I am curious to calculate this for 3 people, which I understand is much more difficult than the 2 person calculation.
I have found many websites that discuss solutions for this problem but they really don't explain the exact steps to take.
For example, at this website (page 858) https://www.math.uchicago.edu/~fcale/CCC/DC.pdf
you can see the number of people you'd need to have 3 coincident birthdays (88 people), 4 coincident birthdays (187 people), and so on.
I would like to know precisely how to calculate this.
From what I've read, the best way is to use a Poisson distribution but no site explains exactly what to do.
I'd like to know how to calculate the probability.
Thank you.
I am curious to calculate this for 3 people, which I understand is much more difficult than the 2 person calculation.
I have found many websites that discuss solutions for this problem but they really don't explain the exact steps to take.
For example, at this website (page 858) https://www.math.uchicago.edu/~fcale/CCC/DC.pdf
you can see the number of people you'd need to have 3 coincident birthdays (88 people), 4 coincident birthdays (187 people), and so on.
I would like to know precisely how to calculate this.
From what I've read, the best way is to use a Poisson distribution but no site explains exactly what to do.
I'd like to know how to calculate the probability.
Thank you.