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2 votes
1 answer
52 views

How to modify the birthday formula to account for overlapping sequences?

While calculating the probability that the same sequence of 50 words occurs twice in a file that contains 400 million random words (each word can have 65536 different states, chosen at random)... ...
George Robinson's user avatar
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
1 vote
2 answers
71 views

Birthday problem: how to show the scaling with $1/N^2$?

Suppose there is a sequence of$N$ numbers $x_1, x_2, x_3, ... x_N$. There are then gaps $|x_i - x_j|$, and the minimum gap: $\delta (N) = \text{min}_{i \ne j \le N} \{ | x_i -x_j | \}$. Let the mean ...
Nigel1's user avatar
  • 655
1 vote
1 answer
90 views

Need to explain the result of the birthday problem?

I am working with a question of birthday problem, and here is the case I have to solve: ...
DTJ's user avatar
  • 97
0 votes
1 answer
55 views

Clarify the solution for the birthday problem with more than 2 people in a group of n people

I am a newbie with the Statistic and Probability, and I was encountered with the birthday problem. And here is is the question I have to answer: ...
DTJ's user avatar
  • 97
0 votes
0 answers
591 views

Estimate of peoples sharing the same first name, last name and date of birth over a population

I am aware of the birthday paradox (more than 50% likeliness of two people sharing the same day of birth). My question is somehow related to this, but with more variables (and unknowns). Given a total ...
Ska's user avatar
  • 1
1 vote
1 answer
195 views

Birthday Problem: Confusion between PMF and CDF -

The question: (Introduction to Probability, Blitzstein and Nwang, p.128) People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing ...
TwoFluidCarrots's user avatar
-3 votes
1 answer
142 views

What are the odds of 3 out of 8 people sharing the same birthday? [closed]

I work on a team of 8 people. Three share the same birthday. I'm no mathematician but I imagine the odds are literally astronomical in measure. A figure in this instance may be meaningless to me. Does ...
Jesse Goetz's user avatar
1 vote
1 answer
252 views

Figuring out N = 23 Birthday Problem - Probability

I am incredibly frustrated so please excuse me. I know I can just run the computations but I am struggling to figure out algebraically how I can figure out that n = 23 whereby it takes a minimum of 23 ...
NotReallyOliverTwist's user avatar
1 vote
1 answer
61 views

Progressive Birthday problem

The Birthday Problem is very interesting to me. The more dates you fill up, the lower the chances a date will be outside what has already been seen. But I do not seem to understand at all how ...
Bertrand Dom's user avatar
0 votes
2 answers
432 views

What's the probability in a group of 8 people at least 2 people rolling the same number

In a group of 8 people what are the chances of at least 2 people getting the same number if they're rolling from 1 to 99 on a uniform distribution? I've tried working this out by finding out the ...
Lunatic Flower's user avatar
0 votes
2 answers
13k views

Probability that two non-twin siblings are born on same day

I want to compute this probability. I take the first sibling, mark their birthday, and then assume that the second siblings birthday is random, so I get that there is a 1/365 chance. Certainly there ...
graviton's user avatar
1 vote
2 answers
405 views

Combinatorics problem related to Birthday Problem from Introduction to Probability

Problem A group of 50 people are comparing their birthdays (as usual, assume their birthdays are independent, are not February 29, etc.). Find the expected number of days in the year on which at ...
Andrew's user avatar
  • 229
4 votes
1 answer
451 views

Is this like the Birthday Problem? Poisson Halloween Party

Suppose that there are n guests at a Halloween party, and that each is wearing one of 200 possible costumes available at local store, uniformly at random and independently of all other guests. Using ...
user avatar
0 votes
2 answers
132 views

Help with birthday problem

I am trying to figure out the probability of having $3$ or more birthdays (out of $23$ people) within the span of $7$ days. I was thinking of going with the number of weeks in a year ($52$), but I ...
cermia's user avatar
  • 1

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