Question

when two dice are thrown simultaneously, what will be the probability of getting a sum greater than 2 and smaller than 4​

Answer 1

As we know a dice has 6 sides

so,probability of getting sum greater than 2 and smaller than 4 is 1/6

as only number 3 comes between them.

Answer 2

Total number of outcomes = 6*6 = 36
(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);(54);(5,5);(5,6)
(6,1);(6,2);(6,3);(6,4);(6,5);(6,6)

Possible outcomes= 3
(1,1);(1,2); (2,1)

P(sum of greater than 2 and small than 4) = (possible outcomes)/(total outcomes)

P(E) = 3/36
=1/12