Is there any case that the two events are Mutually Exclusive Events and dependent or two events are non mutually exclusive events but independent? Give me an example. Thanks.

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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Is there any case that the two events are Mutually Exclusive Events and dependent or two events are non mutually exclusive events but independent? Give me an example. Thanks.

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Why listening to music while driving the car is independent? Please explain to me the reason. Can listening to music while driving doesn't affect the speed of driving? 

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