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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)

MacTyBoys Dec 24, 2018

#1**+1 **

-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

CPhill Dec 24, 2018