The probability that, in a randomly selected group of r people, at least two people will have the same birthday is given by the following table. What is the probability that, in a group of 25 people, at least one person has a birthday on April 5? Why is your answer different from the probability displayed in the table for r= 25? (Ignore February 29.) r 5 10 15 20 22 23 25 30 40 50 Pr(E) 0.027 0.117 0.253 0.411 0.476 0.507 0.569 0.706 0.891 0.970 The probability that, in a group of 25 people, at least one person has a birthday on April 5 is (Round to three decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The probability that, in a randomly selected group of r people, at least two people will have the same birthday is given by the
following table. What is the probability that, in a group of 25 people, at least one person has a birthday on April 5? Why is your
answer different from the probability displayed in the table for r= 25? (Ignore February 29.)
r
5
10
15
20
22
23
25
30
40
50
Pr(E) 0.027 0.117 0.253 0.411 0.476 0.507 0.569 0.706 0.891 0.970
The probability that, in a group of 25 people, at least one person has a birthday on April 5 is
(Round to three decimal places as needed.)
Transcribed Image Text:The probability that, in a randomly selected group of r people, at least two people will have the same birthday is given by the following table. What is the probability that, in a group of 25 people, at least one person has a birthday on April 5? Why is your answer different from the probability displayed in the table for r= 25? (Ignore February 29.) r 5 10 15 20 22 23 25 30 40 50 Pr(E) 0.027 0.117 0.253 0.411 0.476 0.507 0.569 0.706 0.891 0.970 The probability that, in a group of 25 people, at least one person has a birthday on April 5 is (Round to three decimal places as needed.)
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