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When a certain biased die is rolled, a p...

When a certain biased die is rolled, a particular face occurs with probablitiy `(1)/(6)-x` and its opposite face occurs with probability `(1)/(6)+x`. All other faces occur with probability `(1)/(6)`. Note that opposite faces sum to 7 in any die . If `0 lt x lt (1)/(6)`, and the probability of obtaining total sum `=7`, when such a die is rolled twice, is `(13)/(96)`, then the value of x is

A

`(1)/(8)`

B

`(1)/(9)`

C

`(1)/(16)`

D

`(1)/(12)`

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