The question for the birthday paradox is how likely is it that two people will share the same birthday?
Then we went deeper and ended up with the question how many people do you need in a group so that the probability that two people will have the same birthday is 50%?
First I looked at how many birthdates are in a regular year: 365
Then my group and I tried to come up with formula. I knew this was possible when we saw that multiplying (364/365) and (363/365) and (363/365) this looked like a factorial. I didn't know this until Gabe pointed it out. I never really worked on factorials until up to this point so I feel like he was a huge help to our finally formula.
365!
-----------
365n (365-n)
Mr. T showed us his answer after we already tried to come up with our own answers. He had a pretty close formula to what we got. We also got the same exact answer that at 23 people there is a 50% chance that two people will have the same birthday.
Then we went deeper and ended up with the question how many people do you need in a group so that the probability that two people will have the same birthday is 50%?
First I looked at how many birthdates are in a regular year: 365
Then my group and I tried to come up with formula. I knew this was possible when we saw that multiplying (364/365) and (363/365) and (363/365) this looked like a factorial. I didn't know this until Gabe pointed it out. I never really worked on factorials until up to this point so I feel like he was a huge help to our finally formula.
365!
-----------
365n (365-n)
Mr. T showed us his answer after we already tried to come up with our own answers. He had a pretty close formula to what we got. We also got the same exact answer that at 23 people there is a 50% chance that two people will have the same birthday.