23. A group of college freshmen were polled on the courses in which they were registered for their first semester of school. One hundred fourteen registered for English, ninety registered for math, and sixty registered for biology. Seventy-nine registered for both English and math, thirty-five registered for math and biology, and forty-four registered for English and biology. Twenty-eight freshmen registered for English, math, and biology, while ten freshmen did not register for any of the three courses listed. a) How many freshmen were surveyed? b) What is the probability that a random freshman from this group registered only for math? c) What is the probability that a random freshman from this group registered for biology or English?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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23. A group of college freshmen were polled on the courses in which they were registered for their first semester of
school. One hundred fourteen registered for English, ninety registered for math, and sixty registered for biology.
Seventy-nine registered for both English and math, thirty-five registered for math and biology, and forty-four
registered for English and biology. Twenty-eight freshmen registered for English, math, and biology, while ten
freshmen did not register for any of the three courses listed.
a) How many freshmen were surveyed?
b) What is the probability that a random freshman from this group registered only for math?
c) What is the probability that a random freshman from this group registered for biology or English?
Transcribed Image Text:23. A group of college freshmen were polled on the courses in which they were registered for their first semester of school. One hundred fourteen registered for English, ninety registered for math, and sixty registered for biology. Seventy-nine registered for both English and math, thirty-five registered for math and biology, and forty-four registered for English and biology. Twenty-eight freshmen registered for English, math, and biology, while ten freshmen did not register for any of the three courses listed. a) How many freshmen were surveyed? b) What is the probability that a random freshman from this group registered only for math? c) What is the probability that a random freshman from this group registered for biology or English?
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