Question

Two dice are thrown at the same time. Write down all the possible
outcomes. Find the probability of getting the sum of two numbers
appearing on the top of the dice as:
a)
13 b ) less than 13 c) 10 d) less than 10.
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Answer 1

When 2 dice are rolled the maximum possible sum is 12(6+6)

So there is no outcome where the sum of numbers on the dice is 13.Its an impossible event.Its probability is 0.

All the outcomes (36)show a sum less than 13 ranging from 2(1+1) to 12(6+6)

so it's a sure event whose probability is 1

less then ten means 2,3,4,5,6,7,8,9

(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)(5,1)(5,2)(5,3)(5,4)(6,1)(6,2)(6,3) no of outcomes is 30

probability is 30/36=5/6