Let omega be a complex.... | JEE Advanced 2010 | Mathematics

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Question

Let $\omega$ be a complex cube root of unity with $\omega \neq 1$. A fair die is thrown three times. If $r_1, r_2$ and $r_3$ are the numbers obtained on the die, then the probability that $\omega^{\tau_1}+\omega^{\tau_2}+\omega^{\tau_3}=0$ is

Select the correct option:

A

$\frac{1}{18}$

B

$\frac{1}{9}$

C

$\frac{2}{9}$

D

$\frac{1}{36}$

✓ Correct! Well done.

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