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3 votes
1 answer
149 views

$T$ Pokemon trainers catch a Pokemon every day. How many days does it take until two trainers own Pokemons of the same species?

$T$ Pokemon trainers catch $1$ out of $P$ different species of Pokemons every day. Every species has the same chance to be caught. One species can be caught by one trainer multiple times. In mean ...
J. Doe's user avatar
  • 77
0 votes
2 answers
243 views

The Facebook Birthday Problem(Birthday Problem Variation) [closed]

The Facebook Birthday Problem: This problem stems from the classic Birthday Paradox. It says: How many friends do you need for the probability of having at least one friend with a birthday each day ...
gjlmotea's user avatar
0 votes
1 answer
61 views

Collisions in a Sample [closed]

Based on birthday paradox; Let $d$ be the set of elements randomly chosen from a set of $n$ distinct elements then a) What is expected number of unique elements in $d$ (remaining will be repetition of ...
crypt's user avatar
  • 143
2 votes
1 answer
114 views

Probability that there exist at least one day without any Birthday

Probability that a given day do not have any birthday among N people is: (364/365)^N However, what will be the probability that there exist at least one day in a year that have no birthday? This ...
Baban Gain's user avatar
4 votes
1 answer
240 views

What is the probability that in a group of $n$ people, every month of the year has at least one birthday.

What is the probability that in a group of $n$ people, every month of the year has at least one birthday. This is my approach: We have 12 months, and the probability that a month has at least one ...
anil jack's user avatar
6 votes
3 answers
673 views

Birthday Problem - Company Stats Strange or Average?

I had a birthday problem question that I'm really interested in knowing the answer for: In a group of 2,000 people, what is the probability of one day during the year that no one has that particular ...
EternalSeeker's user avatar
5 votes
2 answers
2k views

Coupon Problem generalized, or Birthday problem backward.

I want to solve a variation on the Coupon Collector Problem, or (alternately) a slight variant on the standard Birthday Problem. I have a slight variant on the standard birthday problem. In the ...
mcherm's user avatar
  • 223