probability 1/3. You flip this coin four times in a row. Let A be the event that you get exactly two Heads. Let B be the event that the first flip comes up Heads. Which of the following statements is true? O Events A and B are dependent, and p(AIB) > p(A). Events A and B are dependent, and p(AB) < p(A). Events A and B are independent. More information is needed to conclude any of the other statements.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You have a blased coin that comes up Heads with probabliity 2/3 and Tails with
probability 1/3. You flip this coin four times in a row.
Let A be the event that you get exactly two Heads.
Let B be the event that the first flip comes up Heads.
Which of the following statements is true?
O Events A and B are dependent, and p(AB) > p(A).
Events A and B are dependent, and p(AB) < p(A).
Events A and B are independent.
More information is needed to conclude any of the other statements.
Transcribed Image Text:You have a blased coin that comes up Heads with probabliity 2/3 and Tails with probability 1/3. You flip this coin four times in a row. Let A be the event that you get exactly two Heads. Let B be the event that the first flip comes up Heads. Which of the following statements is true? O Events A and B are dependent, and p(AB) > p(A). Events A and B are dependent, and p(AB) < p(A). Events A and B are independent. More information is needed to conclude any of the other statements.
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