<ul data-eligibleForWebStory="true"><li>In a group of 23 people, there is a 50% chance of at least two people sharing the same birthday.</li><li>The Birthday Paradox arises from comparing every possible pair of people against all 365 potential dates, leading to an explosion in the number of comparisons.</li><li>This paradox has significant implications in computer science and cryptography, setting limits on collision probabilities for hash functions and aiding in testing the quality of random number generators.</li><li>Understanding the principles behind the Birthday Paradox showcases the limitations of human intuition in probability and highlights the importance of precise mathematical analysis in various fields.</li></ul>

The Birthday Paradox: Why 23 People Are All You Need for a 50% Chance of Shared Celebration

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