A basketball team has eight players. What is the probability that at least two of them were born on th same day of the week?

Question

amistre64 · Answer

hmmm ...... each player has the probability of 1/7

jamesj · Answer

Actually, just think this through.  8 players, 7 days.  Is it possible that they are all born on different days?

amistre64 · Answer

1 - 
   (C(8,0) (1/7)^0 (6/7)^8
      +C(8,1) (1/7)^1 (6/7)^7)

maybe?

jamesj · Answer

If they were all born on different days, then there would be at least 8 days in a week.  But they're aren't.  Hence ...

anonymous · Answer

christ am i an idiot

jamesj · Answer

Not usually, but today ;-)

amistre64 · Answer

id say im on par lol

anonymous · Answer

that is for sure. so thrilled about doing birthday problem that i forgot to read it.  but i wonder if we would get one doing it the stupid way?

jamesj · Answer

Hopefully.

@Ujuge: are you following my argument?

anonymous · Answer

yep.

jamesj · Answer

Great.

anonymous · Answer

so how did you solve this?