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A fair coin is tossed repeatedly. Prove that the probability that there is a string of...

A fair coin is tossed repeatedly. Prove that the probability that there is a string of H 20 times consecutively is 1.

Prove that in the gambler's ruin, the probability that the gambler plays forever is 0.

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Answer #1

34 a con tossed a milion times, . here The dance n 2 oir coin vepcatedly, Probahb ving a Atr ot 20 Heads conK.tutiveLờa1 Gametthy il in lassig once) t[ Gambler ends u6 NUk al.tte m P. ǐ forever -P [there ís no Lord atnīn% H.or = i-r[ there are long Ntnings in to ssi ns a coin γ ( infinite times) 1-1

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