The probability that a man  can hit a  target  is ¾ and the probability that he  will hit at least n-1 time is 189/256, then the number of times , n he  tried is 

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Please find below the solution to the asked query:

Probability that target is hit is given byp=34Probability that target is not hit is given byq=1-34=14Probability that target is hit atleast n-1, times=Probabilty that target is hit n-1 times+Probability that target is n timesProbabilty that target is hit n-1 times+Probability that target is n times=189256nCn-1 pn-1 q1+nCnpn=189256n 34n-1 14+1× 34n=189256  As nCn-1=n and nCn=134n-1n4+34=1892563n-14n-1n+34=27×7443n-1n+34n=7×33443n-1n+34n=4+3×34-144On comparing we get n=4 Answer

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