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James K. Polk and Warren G. Harding: Two Presidents both born on November 2nd. There are 365 possible days that a person could be born, so out of just 44 Presidents, its an amazing coincidence that two would share the same birthday right? Actually, no. In a group of 44 people, theres a 93% chance that two of them could share a cake. Heres why. [MUSIC] First, lets simplify the problem a bit. Lets figure out how many people youd have to get together in a room to do just better than a 50/50 chance of a birthday match. Assuming none of them are twins. Or triplets. Or that youre not at a convention for people whose birthday is on like April 7th or something. Youre the first person in the room. Theres a 100% chance that your birthday is your birthday. What are the chances that the second person to walk in the room doesnt share your birthday? Well, they have 365 birthdays to choose from, and 364 wont match yours, so, a measly 0.3% chance of a birthday in common. When the third