Question

Two dice are drawn simultaneously What is the probability of getting a number greater than 6 but smaller than 9?

Step by step

Answer 1

total outcome =   2 [ (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)(5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) ] = 64

favourable outcome = 2 [ (1,5) (1,6) (2,4) (2,5) (2,6) (3,3) (3,4) (3,5) (3,6) (4,2) (4,3) (4,4) (4,5) (5,1) (5,2) (5,3) (5,4) (6,1) (6,2) (6,3) ]  = 18

p(getting greater than 6 and smaller than 9) = 64/18

                                                                             = 32/9