Question

Let ω be a complex cube root of unity (i.e.ω ≠ 1). A fair die is thrown three times. If r₁, r₂, & r₃ are the numbers obtained on the die, then the probability that \(\omega ^{r_1} + \omega^{r_2} + \omega^{r_3} = 0\) is

(a) 1/18

(b) 1/9

(c) 2/9

(d) 1/36

Answer 1

Correct option is (c) 2/9