Of the nine members of the board of trustees of a college, five agree with the president on a certain issue. The president selects three trustees at random and asks for their opinions. What is the probability (expression only) that at least two of them will agree with him?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 9ECP: A random number generator selects two integers from 1 to 30. What is the probability that both...
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Of the nine members of the board of trustees of a college, five agree with the president
on a certain issue. The president selects three trustees at random and asks for their
opinions. What is the probability (expression only) that at least two of them will agree
with him?
A die is rolled four times. What is the probability of obtaining only even numbers
given that the first roll was larger than 3?
Let E and F be events with Pr(E) = .4, Pr(F) = .3, and Pr(E UF) = .5. Find
Pr(E\F).
Transcribed Image Text:Of the nine members of the board of trustees of a college, five agree with the president on a certain issue. The president selects three trustees at random and asks for their opinions. What is the probability (expression only) that at least two of them will agree with him? A die is rolled four times. What is the probability of obtaining only even numbers given that the first roll was larger than 3? Let E and F be events with Pr(E) = .4, Pr(F) = .3, and Pr(E UF) = .5. Find Pr(E\F).
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