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Probability question

2010 · Shift 1 · Q45

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PYQ Library
JEE Advanced
Mathematics
Probability
2010 · Shift 1 · Q45

Probability question

2010 · Shift 1 · Q45

JEE AdvancedMathematicsProbabilityMCQ+4 / −1

Let

\omega

be a complex cube root of unity with

\omega e 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 ^{{r_1}}} + {\omega ^{{r_2}}} + {\omega ^{{r_3}}} = 0

is

A
${1 \over 18}$
B
${1 \over 9}$
C
${2 \over 9}$
D
${1 \over 36}$

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