Home
Class 12
MATHS
A pair of fair dice is thrown indepen...

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is (1) 1/729 (2) 8/9 (3) 8/729 (4) 8/243

A

`8//9`

B

`7//29`

C

`8//243`

D

`1//729`

Text Solution

Verified by Experts

The correct Answer is:
C
Possiblities of getting 9 are `(5,4),(4,5),(6,43),(3,6).`
`thereforep=(4)/(36)=1/9andq=1-1/9=8/9`
Therefore, the required probability is
`""^(3)C_(2)q^(1)p^(2)=(3)((8)/(9))((1)/(9))^(2)=(8)/(143)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CHOICE ANSWER TYPE|17 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise LINKED COMPREHENSION TYPE|43 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise CONCEPT APPCICATION EXERCISE 14.6|5 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

A pair of dice is thrown 3 times. Find the probability of getting a doublet exactly two times.

If a dice is thrown twice, then find the probability of getting 1 in the first throw only.

A die is thrown 31 times. The probability of getting 2,4 or 5 at most 15 times is (a) (1)/(3) (b) (1)/(4) (c) (1)/(5) (d) (1)/(2)

A fair coin is tossed 8 times, then the probability of getting 3H is (7n)/(32) , find n -

Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face value of a fair dice by throwing it three times Then the probability that f(x) is an invertible function is (A) 5/36 (B) 8/36 (C) 4/9 (D) 1/3

A fair coin is tossed 100 times. The probability of getting tails 1, 3, .., 49 times is 1//2 b. 1//4 c. 1//8 d. 1//16

An unbiased cubic die marked with 1,2,2,3,3,3 is rolled 3 times. The probability of getting a total score of 4 or 6 is

If A and B each toss three coins. The probability that both get the same number of heads is (a) 1/9 (b) 3/16 (c) 5/16 (d) 3/8

Two dice are thrown at a time. The*, probability that the sum of tw,o numbers is equal to 8 is

A fair coin is tossed n times. The probability of getting head at least once is greater than 0.8. Then the least value of n is -

CENGAGE PUBLICATION-PROBABILITY II-EXERCISE
  1. A fair coin is tossed 10 times. Then the probability that two heads do...

    Text Solution

    |

  2. A die is thrown a fixed number of times. If probability of getting eve...

    Text Solution

    |

  3. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  4. The probability that a bulb produced by a factory will fuse after 150 ...

    Text Solution

    |

  5. The box contains tickets numbered from 1 to 20. Three tickets are draw...

    Text Solution

    |

  6. Two players toss 4 coins each. The probability that they both obtain t...

    Text Solution

    |

  7. A coin is tossed 2n times. The chance that the number of times one get...

    Text Solution

    |

  8. A box contains 24 identical balls of which 12 are white and 12 are ...

    Text Solution

    |

  9. In a game a coin is tossed 2n+m times and a player wins if he does not...

    Text Solution

    |

  10. A and B toss a fair coin each simultaneously 50 times. The probability...

    Text Solution

    |

  11. A fair coin is tossed 100 times. The probability of getting tails 1, 3...

    Text Solution

    |

  12. A fair die is thrown 20 times. The probability that on the 10th thro...

    Text Solution

    |

  13. A speaks truth in 605 cases and B speaks truth in 70% cases. The proba...

    Text Solution

    |

  14. The probability that a teacher will give an unannounced test during an...

    Text Solution

    |

  15. There are two urns Aa n dB . Urn A contains 5 red, 3 blue and 2 white ...

    Text Solution

    |

  16. A bag contains 20 coins. If the probability that the bag contains e...

    Text Solution

    |

  17. A bag contains 3 red and 3 green balls and a person draws out 3 at ...

    Text Solution

    |

  18. A bag contains 20 coins. If the probability that the bag contains ex...

    Text Solution

    |

  19. An urn contains 3 red balls and n white balls. Mr. A draws two balls t...

    Text Solution

    |

  20. A student can solve 2 out of 4 problems of mathematics, 3 out of 5 ...

    Text Solution

    |