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Two events are mutually exclusive if the both cannot be true at the same time. R

ID: 2922419 • Letter: T

Question

Two events are mutually exclusive if the both cannot be true at the same time.

Roll a die: Get an even number, and get a number less than 3.

Roll a die: Get a prime number (2, 3, 5), and get an odd number.

Select a student in your class: The student has blond hair, and the student has blue eyes

Select a student in your college: The student is a sophomore, and the student is a business major.

Roll a die: Get a number greater than 3, and get a number less than 3.

Select any course: It is a calculus course, and it isa English course.

Select a registered voter: The voter is a Republican, and the voter is a Democrat.

Not mutually exclusive

Mutually Exclusive

      -       A.       B.   

Roll a die: Get an even number, and get a number less than 3.

      -       A.       B.   

Roll a die: Get a prime number (2, 3, 5), and get an odd number.

      -       A.       B.   

Select a student in your class: The student has blond hair, and the student has blue eyes

      -       A.       B.   

Select a student in your college: The student is a sophomore, and the student is a business major.

      -       A.       B.   

Roll a die: Get a number greater than 3, and get a number less than 3.

      -       A.       B.   

Select any course: It is a calculus course, and it isa English course.

      -       A.       B.   

Select a registered voter: The voter is a Republican, and the voter is a Democrat.

A.

Not mutually exclusive

B.

Mutually Exclusive

Explanation / Answer

Roll a die: Get an even number, and get a number less than 3. Answer : Not mutually exclusive

Roll a die: Get a prime number (2, 3, 5), and get an odd number. Answer : Not mutually exclusive

Select a student in your class: The student has blond hair, and the student has blue eyes

Answer : Not mutually exclusive

Select a student in your college: The student is a sophomore, and the student is a business major.

   Answer : Not mutually exclusive

Roll a die: Get a number greater than 3, and get a number less than 3.  Answer : Mutually exclusive

Select any course: It is a calculus course, and it isa English course. Answer : Mutually exclusive

Select a registered voter: The voter is a Republican, and the voter is a Democrat. Answer : Mutually exclusive

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