Question

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Two dice are rolled. Find the probability that the sum is less than 13.

Answer 1

Hello....
a) The sample space S of two dice is shown below. 

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

All possible outcomes, E = S, give a sum less than 13, hence. 

P(E) = n(E) / n(S) = 36 / 36 = 1 .
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