A football match is either won, draw or lost by the host country‘s team. So there are three ways of forecasting the result of any one match, one correct and two incorrect. Find the probability of forecasting at least three correct results for four matches

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• 3c1*3c1*3c1/81
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• Given, There are three ways of forecasting the result of any one football match, one correct and other two incorrect.
  
  so,probability of incorrect result =2/3
  therefore, probability of forecasting at least 3 correct result for 4 matches = probability of 3 correct and 1 correct or probability of all 4 correct
  = 4*(1/3)^3 * (2/3) + (1/3)^4
  =(1/3)^4 (8+1)
  =9/3^4
  =1/9
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