If there are 10 people in a room, what is the probability that at least 2 of them share a birthday (month and day)? Let's assume that people are equally likely to be born on each of the 365 days of the year, and that none of them were born on February 29. Give an exact version of your answer, and then also an approximate decimal answer/percentage. The numbers involved are pretty big, so a computer can help compute them. One option is to use WolframAlpha.com to do the approx

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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a)  If there are 10 people in a room, what is the probability that at least 2 of them share a birthday (month and day)? Let's assume that people are equally likely to be born on each of the 365 days of the year, and that none of them were born on February 29. Give an exact version of your answer, and then also an approximate decimal answer/percentage. The numbers involved are pretty big, so a computer can help compute them. One option is to use WolframAlpha.com to do the approximation part b)  How many people have to be in the room so that there is just barely more than 50% chance that at least 2 people share a birthday?
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