A group of twenty-one people is selected at random. What is the probability that at least two of them will have the same birthday? (Round your answer to four decimal places.)
A group of twenty-one people is selected at random. What is the probability that at least two of them will have the same birthday? (Round your answer to four decimal places.)
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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Transcribed Image Text:A group of twenty-one people is selected at random. What is the probability that at least two of them will have the same birthday? (Round
your answer to four decimal places.)
Expert Solution
Step 1: Given Information:
We know that
The number of way of birthday for each person out of 365 days is 365P21.
The total number of ways of choosing one day each for 21 people is 36521.
The formula is,
P = P(E)/P(S)
Step by step
Solved in 3 steps
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