Birthday Paradox Threshold - Quant Trader Interview Question
Difficulty: Medium
Category: Conditional Probability
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Topics: probability, conditional-probability, mental-math, estimation
Problem Description
You are attending a trading conference with a large number of attendees. Assuming birthdays are uniformly distributed throughout the year (365 days, ignoring leap years), how many attendees must be present for there to be a greater than 50% chance that at least two people share the same birthday?
- Assume there are 365 days in a year.
- You need to calculate the number of people, $n$, such that the probability of at least one matching birthday is greater than 0.5.
- The probability of no matchin
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