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Two dice are thrown and the side of both dice facing up are observed. Which of the following events are mutually exclusive events?



A. A: Both dice are the same number.B: Both dice are even number.
B. C: The sum of both dice is even.D: The sum of both dice is a prime number.
C. E: One of the dice shows a 2.F: The sum is greater than 8.
D. G: The product of both dice is even.H: The sum of both dice is odd.

This question is part of Lesson 6 Quiz - Addition of Probabilities and Mutually Exclusive Events
Asked by Enxian, Last updated: Feb 23, 2018

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1 Answer

John Smith

John Smith

Answered on Feb 07, 2017

E: One of the dice shows a 2. F: The sum is greater than 8.

E= {(1,2), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,2), (4,2), (5,2), (6,2)} F= {(3,6), (4,5), (4,6), (5,4), (5,5), (5,6), (6,5), (6,6)} Therefore, events E and F are mutually exclusive events. B= {(
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