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Real-World Applicationshard
0:00.0

A gambler plays a game where they win \1withprobabilitywith probabilitywithprobabilitypandloseand loseandlose$1withprobabilitywith probabilitywithprobabilityq = 1-p.Theprobabilityofbeingat. The probability of being at .Theprobabilityofbeingat$0afterafterafternstepsstartingfromsteps starting fromstepsstartingfrom$kisgovernedbyarandomwalk.Ifis governed by a random walk. Ifisgovernedbyarandomwalk.Ifp=0.5andandandk=2,whatistheprobabilityofhitting, what is the probability of hitting ,whatistheprobabilityofhitting$0beforebeforebefore$4$?