+107 A six sided die whose faces are -2, -1, 0, 0, 1, 2. The die is rolled 3times.Find the probability that the sum of the 3 numberssherolls is zero (in a fraction)
+130070 -2, -1, 0, 0, 1, 2
We have 6C3 = 20 possible sets of outcomes [order doesn't matter ]
(-2, -1, 0) (-2, -1, 0) (-2, - 1, 1) ( -2, - 1, 2)
(-2, 0, 0) (-2, 0, 1) (-2, 0, 2)
(-2, 0,1) (-2, 0, 2)
(-2,1,2)
(-1,0,0) (-1, 0, 1) (-1, 0,2)
(-1,0, 1) (-1, 0, 2)
(-1,1,2)
(0,0,1) (0, 0, 2)
(0, 1, 2)
(0, 1, 2)
The probability is 4 outcomes / 20 outcomes = 1 / 5
