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Let alpha be root of x^(2)+x+1=0 and su...

Let `alpha` be root of `x^(2)+x+1=0` and suppose that a fair die is thrown 3 times if a,b and c are the numbers shown on the die then the probability that `alpha^(a)+alpha^(b)+alpha^(c )` =0 is

A

`(2)/(38)`

B

`(1)/(27)`

C

`(1)/(27)`

D

`(2)/(9)`

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The correct Answer is:
D
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