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An experiment succeeds thrice as often as it fails. Find the probability that in the next five trials, there will be at least three successes

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Assume that the total number of outcomes are 4 so 

P(success)=3/4=p and P(failure)=1/4=1-p=q

now wih binomial expansion the answer can be found 

P(X greater than or equal to 3)=5C3 p*3 q*2 + 5C4 p*4 q*1 + 5C5 p*5 q*0 
270/1024 + 405/1024 + 243/1024 = 918/1024 = 0.896


answered Feb 11, 2016 by _1

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