1.

Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice is greater than 10.

Answer»

Given: three dice are rolled

Formula: P(E) = \(\frac{favourable\,outcomes}{total\,possible\,outcomes}\) 

so, we have to determine the probability of getting the same number on all the three dice total number of possible outcomes are 62 = 36

therefore n(S)=36 

let E be the event of getting same number on all the three dice 

E= {(5,6) (6,5) (6,6)}

n(E)= 3

P(E) = \(\frac{n(E)}{n(S)}\)

P(E) = \(\frac{3}{36}\) = \(\frac{1}{12}\) 



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