All Questions
Tagged with birthday solution-verification
8
questions
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How many people must be in a room until it is at least a $50\%$ chance that two will have the same amount of change?
Book problem: If the amount of change in a pocket is assumed to be uniformly distributed from $0$ to $99$ cents, how many people must be in a room until it is at least a $50\%$ chance that two will ...
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Find the probability that at least two people out of $k$ people will have the same birthday
The Birthday problem. Find the probability that at least two people out of $(k=5)$ people will have the same birthday.
The usual approach would be to use $$p=1-\frac{P_{365,5}}{365^5}$$
However, I ...
- 1,360
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Birthday Paradox with Leap Year
I looked online, and found more than one and inconsistent answers to the Birthday Paradox when we throw the leap year into the mix. None of the answers I saw match with my own. I am posting my ...
- 1,278
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Birthday Problem: Expected Number of people with common birthday [duplicate]
This might be a different variant of the typical birthday problem. Given a room of $n$ people, let $N$ be a random variable representing the number of people who have a birthday common with at least ...
- 2,677
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Birthday problem variant
There are $n$ people present in a room. Assume that people’s
birthdays are equally likely to be on any day of the year.
What is the probability that at least one of them celebrates their birthday on ...
- 501
1
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1
answer
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Birthday Problem Proof?
I was looking at the Birthday Problem (the probability that at least 2 people in a group of n people will share a birthday) and I came up with a different solution and was wondering if it was valid as ...
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What is the probability of 1st January being the birthday of two persons among 500?
$\mathbf{Question:}$ What is the probability of $1$st January being the birthday of $two$ people when chosen (two persons are picked randomly) among $500$ people? ($365$ days in a Year).
$\mathbf{...
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Probability of same birthday
I think I solved this problem but I would like to know if I am right or wrong, I am not quite sure.
We assume that the year has 365 days and the birthdays are uniformly distributed. We want to find ...
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