a) Suppose three people are in a room. VWhat 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?

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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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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Discrete math

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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