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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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CENGAGE ENGLISH-PROBABILITY I -Exercise 9.2
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  3. Find the probability of getting total of 5 or 6 in a single throw o...

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  4. Two integers are chosen at random and multiplied. Find the probabil...

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  5. If out of 20 consecutive whole numbers two are chosen at random, th...

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  6. A bag contains 3 red, 7 white, and 4 black balls. If three balls ar...

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  7. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

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  8. If the letters of the word REGULATIONS be arranged at random, find ...

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  9. A five-digit number is formed by the digit 1, 2, 3, 4, 5 without repet...

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  10. Five persons entered the lift cabin on the ground floor of an 8-flo...

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  11. Two friends Aa n dB have equal number of daughters. There are three ci...

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  12. about to only mathematics

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  13. There are eight girls among whom two are sisters, all of them are to s...

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  14. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

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  15. A pack of 52 cards is divided at random into two equals parts. Find th...

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  16. If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6...

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  17. If two distinct numbers m and n are chosen at random form the set {1, ...

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  18. Two number aa n db aer chosen at random from the set of first 30 natur...

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  19. Twelve balls are distributed among three boxes, find the probability ...

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