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Flip a fair coin 3 times. X is the total number of tails (can be 0,1,2,3). Y is the number of heads in the last 2 flips (can be 0,1,2). What is P[X=1,Y=0]?

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Flip a fair coin 3 times. X is the total number of tails (can be 0,1,2,3). Y is the number of heads in the last 2

flips (can be 0,1,2). What is P[X=1,Y=0]?

 
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