Suppose we toss a fair die.  Let A denote the event that we obtain a most 2 spots atop the die and let B denote the event that we observe at least 5 spots atop the die.  Also, suppose we toss a fair coin twice and we let C denote the event that we obtain two heads, and let D denote the event that we obtain one head.  Select the correct statement below. A and B are independent, while A and C are mutually exclusive. A and B are independent, while A and C are independent. C and D are dependent, while A and B are independent. A and B are mutually exclusive, while A and C are mutually exclusive. A and B are mutually exclusive, while A and C are independent.

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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Suppose we toss a fair die.  Let A denote the event that we obtain a most 2 spots atop the die and let B denote the event that we observe at least 5 spots atop the die.  Also, suppose we toss a fair coin twice and we let C denote the event that we obtain two heads, and let D denote the event that we obtain one head.  Select the correct statement below.

A and B are independent, while A and C are mutually exclusive.
A and B are independent, while A and C are independent.
C and D are dependent, while A and B are independent.
A and B are mutually exclusive, while A and C are mutually exclusive.
A and B are mutually exclusive, while A and C are independent.
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