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A die is thrown twice. What is the probability that at least one of the two throws comes up with the number 4?

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Given : A die is thrown twice 

To find : Probability that at least one of the two throws comes up with the number 4 

The formula used : Probability 

  = \(\frac{favourable\,number\,of\,outcomes}{Total\,no.of\,outcomes}\) 

A die is numbered from 1 to 6 

When a die is thrown twice, total number of outcomes = 62 = 36 

Favourable outcomes = 

{(4,1) ,(4,2) ,(4,3) ,(4,4) ,(4,5) ,(4,6) ,(1,4) ,(2,4) ,(3,4) ,(5,4) , (6,4)} 

Favourable number of outcomes = 11 

Probability that at least one of the two throws comes up with the number 4 = \(\frac{11}{36}\) 

The probability that at least one of the two throws comes up with the number 4 =  \(\frac{11}{36}\) 

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