Suppose that you are in a strange town and you want to try and find someone who has the same rthday as you. You approach strangers randomly and ask them when their birthday is. You can sume that anyone you ask is equally likely to be born on any of the 365 days of the year (we will hore February 29 birthdays - sorry if you are a leap year baby!). Let's define A, to be the event at you must approach more than n people to find someone with your birthday. The smallest lue of n such that P(An) is less than 0.5 is:

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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9. Suppose that you are in a strange town and you want to try and find someone who has the same
birthday as you. You approach strangers randomly and ask them when their birthday is. You can
assume that anyone you ask is equally likely to be born on any of the 365 days of the year (we will
ignore February 29 birthdays - sorry if you are a leap year baby!). Let's define A, to be the event
that you must approach more than n people to find someone with your birthday. The smallest
value of n such that P(An) is less than 0.5 is:
A)
22
B)
23
C)
252
D)
253
Transcribed Image Text:9. Suppose that you are in a strange town and you want to try and find someone who has the same birthday as you. You approach strangers randomly and ask them when their birthday is. You can assume that anyone you ask is equally likely to be born on any of the 365 days of the year (we will ignore February 29 birthdays - sorry if you are a leap year baby!). Let's define A, to be the event that you must approach more than n people to find someone with your birthday. The smallest value of n such that P(An) is less than 0.5 is: A) 22 B) 23 C) 252 D) 253
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