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This question has been asked in more ways than there are Buddhas. Try looking here http://math.stackexchange.com/search?q=birthday+problem

birthday problem - expected number of collisions <-how about this one, you should be able to find an answer from one of the answers of the linked problem.

I am not trying to be an arse; however, with one of the most widely known probability question of the existence of time, you have to check this website before posting.

trying to save you from being harshly downvoted.

This question has been asked in more ways than there are Buddhas. Try looking here https://math.stackexchange.com/search?q=birthday+problem

birthday problem - expected number of collisions <-how about this one, you should be able to find an answer from one of the answers of the linked problem.

I am not trying to be an arse; however, with one of the most widely known probability question of the existence of time, you have to check this website before posting.

trying to save you from being harshly downvoted.

This question has been asked in more ways than there are Buddhas. Try looking here http://math.stackexchange.com/search?q=birthday+problem

http://math.stackexchange.com/a/102889/23662 <-how about this one.

I am not trying to be an arse; however, with one of the most widely known probability question of the existence of time, you have to check this website before posting.

trying to save you from being harshly downvoted.

This question has been asked in more ways than there are Buddhas. Try looking here http://math.stackexchange.com/search?q=birthday+problem

birthday problem - expected number of collisions <-how about this one, you should be able to find an answer from one of the answers of the linked problem.

I am not trying to be an arse; however, with one of the most widely known probability question of the existence of time, you have to check this website before posting.

trying to save you from being harshly downvoted.

This question has been asked in more ways than there are Buddhas. Try looking here http://math.stackexchange.com/search?q=birthday+problem

This question has been asked in more ways than there are Buddhas. Try looking here http://math.stackexchange.com/search?q=birthday+problem

http://math.stackexchange.com/a/102889/23662 <-how about this one.

I am not trying to be an arse; however, with one of the most widely known probability question of the existence of time, you have to check this website before posting.

trying to save you from being harshly downvoted.