The Birthday Paradox Calculator computes the probability of at least two people sharing a birthday in a group, along with the odds ratio and the minimum number of people needed for 50% and 99% probabilities, based on the specified group size.
Birthday Paradox Calculator
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How to Use the Birthday Paradox Calculator
The Birthday Paradox Calculator is a tool designed to compute the probability of at least two people sharing a birthday within a specified group size. This guide will walk you through the steps to effectively use this tool.
Input the Number of People in the Group
- Enter the number of people: Begin by inputting the number of people in the group into the specified field labeled “Number of People in Group”. The input field requires a minimum of 2 people and a maximum of 365 people. Ensure this number falls within the specified limits.
Understanding the Results
- Probability of Shared Birthday: Once you’ve entered the number of people, the calculator will compute the probability that at least two individuals in the group share the same birthday. This probability is displayed as a percentage, rounded to two decimal places.
- Odds Ratio: The odds ratio represents the odds of a shared birthday versus not having one. It is displayed in the format “1 : X”, where X is rounded to two decimal places.
- People Needed for 50% Probability: This result shows the minimum number of people required for there to be a 50% chance of shared birthdays. The result is displayed as whole numbers with the suffix “people”.
- People Needed for 99% Probability: Similarly, this result indicates the number of people needed for a 99% probability of shared birthdays, also displayed as whole numbers with the suffix “people”.
By following these steps and understanding the output fields, you can effectively use the Birthday Paradox Calculator to explore this intriguing probability puzzle.