A coin is loaded so that Pr(H) = 2/3 and Pr(T) = 1/3. Todd tosses this coin

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A coin is loaded so that Pr(H) = 2/3 and Pr(T) = 1/3. Todd tosses this coin twice.
Let A, B be the events
A : The first toss is a tail. B : Both tosses are the same.
Are A, B independent?
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