People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing their birthdays. Let X be the number of people needed to obtain a birthday match, i.e., before person X arrives there are no two people with the same birthday, but when person X arrives there is a match. For example, X = 10 would mean that the first nine people to arrive all have different birthdays, but the tenth person to arrive matches one of the first nine. Find .P (X = 3 or X = 4) %3D

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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People are arriving at a party one at a time. While waiting for more people to arrive they entertain
themselves by comparing their birthdays. Let X be the number of people needed to obtain a birthday
match, i.e., before person X arrives there are no two people with the same birthday, but when person X
arrives there is a match. For example, X = 10 would mean that the first nine people to arrive all have
different birthdays, but the tenth person to arrive matches one of the first nine. Find
.P(X = 3 or X = 4)
%3D
Transcribed Image Text:People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing their birthdays. Let X be the number of people needed to obtain a birthday match, i.e., before person X arrives there are no two people with the same birthday, but when person X arrives there is a match. For example, X = 10 would mean that the first nine people to arrive all have different birthdays, but the tenth person to arrive matches one of the first nine. Find .P(X = 3 or X = 4) %3D
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