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

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

Mary has a coin that has probability 1/3 of landing Heads.

They toss their coins simultaneously, repeatedly.

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

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.

Expert Solution

Solution

Given that:

milcah answered 1 year ago

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