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Ken has a coin that has probability 1/5 of landing Heads.    Mary has a coin that...

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Basic Math

Ken has a coin that has probability 1/5 of landing Heads.

   Mary has a coin that has probability 1/3 oflanding Heads.

   They toss their coins simultaneously,repeatedly.

Let X be the number of tosses until Ken gets his firstHeads.

Let Y be the number of tosses until Mary gets her first Heads.Find:

Let U = min(X,Y) and V = max(X,Y)

(d) For k = 1, 2, 3,... , find a formula for P(U = k).

(e) For k = 1, 2, 3,... , find a formula for P(V > k). HINT:Inclusion-Exclusion.

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