So a couple days ago three people all showed up to work wearing the same shirt. At first I thought this was just like the birthday problem, the probability at least 2 people in a room have the same birthday, but when I think more about it I think it's different. In the birthday problem, everyone chooses a birthday from the same 365 days. They all have the same sample space.(adsbygoogle = window.adsbygoogle || []).push({});

In this shirt problem, let A=all the shirts that exist, B=the shirts person 1 owns, and C=the shirts person 2 owns. B and C will be subsets of A, but they may or may not be disjoint from each other. So when person 1 and 2 get up in the morning, they are likely sampling from different sample spaces.

Does what I say make sense? So how would you find the probability at least two people show up with the same shirt?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability two people wear the same shirt

Loading...

Similar Threads - Probability wear same | Date |
---|---|

I Probability density of an exponential probability function | Yesterday at 12:10 PM |

B Probability and Death Sentences | Thursday at 10:48 PM |

B Probability of loto hitting a specific place | Mar 10, 2018 |

B The Drunkard's Walk: A Discussion of the Text | Mar 8, 2018 |

A Testing if probability is the same for two groups | May 31, 2017 |

**Physics Forums - The Fusion of Science and Community**