There are eight girls among whom two are...

There are eight girls among whom two are sisters, all of them are to sit on a round table. Find the probability that the two sisters do not sit together.

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The correct Answer is:

`(5)/(7)`

Total number of ways is `7!` Favorable number of ways is `7! - 2 (6!)`. Hence, the probability is
`(7! - 2(6!))/(7!) = 1 - (2)/(7) = (5)/(7)`

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