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Understanding Mutually Exclusive Events: Real-life Scenarios
Chapter 4, Problem 2(choose chapter or problem)
Determine whether these events are mutually exclusive.
a. Roll a die: Get an even number, and get a number less than 3.
b. Roll a die: Get a prime number (2, 3, 5), and get an odd number.
c. Roll a die: Get a number greater than 3, and get a number less than 3.
d. Select a student in your class: The student has blond hair, and the student has blue eyes.
e. Select a student in your college: The student is a sophomore, and the student is a business major.
f. Select any course: It is a calculus course, and it is an English course.
g. Select a registered voter: The voter is a Republican, and the voter is a Democrat.
Questions & Answers
QUESTION:
Determine whether these events are mutually exclusive.
a. Roll a die: Get an even number, and get a number less than 3.
b. Roll a die: Get a prime number (2, 3, 5), and get an odd number.
c. Roll a die: Get a number greater than 3, and get a number less than 3.
d. Select a student in your class: The student has blond hair, and the student has blue eyes.
e. Select a student in your college: The student is a sophomore, and the student is a business major.
f. Select any course: It is a calculus course, and it is an English course.
g. Select a registered voter: The voter is a Republican, and the voter is a Democrat.
ANSWER:Step 1 of 7
a).
Experiment: Roll of a die
Events: A - the number on the die is an even number, B - the number on the die is smaller than 3
A and B are not exclusive because both can occur at once. That happens if a 2 is rolled.
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Understanding Mutually Exclusive Events: Real-life Scenarios
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Explore the concept of mutually exclusive events in probability, using practical examples like rolling a die, selecting college students, and understanding political party registrations.