a) Suppose three people are in a room. What is the probability that there is at least one shared birthday among these three people?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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a) Suppose three people are in a room. What is the probability that there is
at least one shared birthday among these three people?
b) There are 4 boys and 4 girls. They sit in a row randomly. What is the
chance that all the girls do not sit together.
c) If you choose two numbers from 1 to 67, what is the probability that one
number is greater than another?
d) A and B stand in a line at random with 10 other people. What is the
probability that there are exactly 3 people between A and B?
Transcribed Image Text:a) Suppose three people are in a room. What is the probability that there is at least one shared birthday among these three people? b) There are 4 boys and 4 girls. They sit in a row randomly. What is the chance that all the girls do not sit together. c) If you choose two numbers from 1 to 67, what is the probability that one number is greater than another? d) A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
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