Probability of sum greater than 5 event is reduces to 13/18 .
probability of getting number whose sum is divisible by 2 and 3 both is 6/36 which reduces to 1/6 .
The sample space of rolling two dice has 36 possible outcomes. Remember that the "sample space" is a set which contains all possible outcomes.
(1,1)(2,1)(3,1)(4,1)(5,1)(6,1)
(1,2)(2,2)(3,2)(4,2)(5,2)(6,2)
(1,3)(2,3)(3,3)(4,3)(5,3)(6,3)
(1,4)(2,4)(3,4)(4,4)(5,4)(6,4)
(1,5)(2,5)(3,5)(4,5)(5,5)(6,5)
(1,6)(2,6)(3,6)(4,6)(5,6)(6,6)
The probability of the sum is greater than 5 event is 26/36 which reduces to 13/18 .
And the probability of getting number whose sum is divisible by 2 and 3 both is 6/36.
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