Which of the following pair of events are independent? A) Event I: You sleep late. Event II: You are late for class. B) Event I: You write proper thank-you notes. Event II: You get invited back. C) Event I: The first time you flip a coin, you get head. Event II: The second time you flip a coin, you get tail. D) Event I: General Electric stock goes up. Event II: General Motors stocks goes up.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Which of the following pair of events are independent?

A) Event I: You sleep late.
Event II: You are late for class.

B) Event I: You write proper thank-you notes.
Event II: You get invited back.

C) Event I: The first time you flip a coin, you get head.
Event II: The second time you flip a coin, you get tail.

D) Event I: General Electric stock goes up.
Event II: General Motors stocks goes up.

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Independent events are those events whose occurrence is not dependent on any othe event. For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

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