Two fair six-sided dice are tossed simultaneously. (a) Are the events “the dice land on the same number” and “the two numbers sum to more than seven” independent? Support your answer with numerical evidence. (b) Are the events “the dice land on different numbers” and “their sum is odd” independent? Support your answer with numerical evidence. (c) Are the events “the dice land on different numbers” and “their sum is even” mutually exclusive? Explain why or why not. (d) Are the events “the dice land on the same number” and “their sum is odd” mutually exclusive? Explain why or why not.

Two fair six-sided dice are tossed simultaneously. (a) Are the events “the dice land on the same number” and “the two numbers sum to more than seven” independent? Support your answer with numerical evidence. (b) Are the events “the dice land on different numbers” and “their sum is odd” independent? Support your answer with numerical evidence. (c) Are the events “the dice land on different numbers” and “their sum is even” mutually exclusive? Explain why or why not. (d) Are the events “the dice land on the same number” and “their sum is odd” mutually exclusive? Explain why or why not.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Two fair six-sided dice are tossed simultaneously.

(a) Are the events “the dice land on the same number” and “the two numbers
sum to more than seven” independent? Support your answer with numerical
evidence.

(b) Are the events “the dice land on different numbers” and “their sum is odd”
independent? Support your answer with numerical evidence.

mutually exclusive? Explain why or why not.

(d) Are the events “the dice land on the same number” and “their sum is odd”
mutually exclusive? Explain why or why not.

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