Home
Class 12
MATHS
Three numbers are chosen at random witho...

Three numbers are chosen at random without replacement from `{1,2,3,...,8}.` The probability that their minimum is 3, given that maximum is 6, is:

A

`(1)/(4)`

B

`(2)/(5)`

C

`(3)/(8)`

D

`(1)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is (1) 3/8 (2) 1/5 (3) 1/4 (4) 2/5

Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is (1) 3/8 (2) 1/5 (3) 1/4 (4) 2/5

Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximum is 7 , is:

Four numbers are chosen at random from {1,2,3,......, 40} . The probability that they are not consecutive is

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers from an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}.

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20}. Statement-1: The probability that the chosen numbers when arranged in some order will form an AP Is 1/(85) . Statement-2: If the four chosen numbers form an AP, then the set of all possible values of common difference is {1, 2, 3, 4, 5}. (1) Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 (2) Statement-1 is true, Statement-2 is false (3) Statement-1 is false, Statement-2 is true (4) Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1

Three numbers are chosen at random from the first 20 natural numbers. The probability that their product is even is

Two numbers x and y are chosen at random (without replacement) from among the numbers 1,2,3,2004. The probability that x^3+y^3 is divisible by 3 is (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/4

Three numbers are selected at random one by one with replacement from the numbers 1,2,3,….60. The probability that the A.M. of the numbers selected is 15 is.

Two numbers a and b are chosen at random from the set {1,2,3,..,3n}. The probability that a^(3)+b^(3) is divisible by 3, is

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. four fair dice D1, D2,D3 and D4 each having six faces numbered 1,2,3,4...

    Text Solution

    |

  2. If X and Y are two events such that PX//Y)=(1)/(2), P(Y//X)=(1)/(3) an...

    Text Solution

    |

  3. Three numbers are chosen at random without replacement from {1,2,3,......

    Text Solution

    |

  4. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

  5. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  6. Of the three independent events E(1),E(2),and E(3), the probability th...

    Text Solution

    |

  7. A box B(1) contains 1 white ball, 3 red balls, and 2 black balls. An- ...

    Text Solution

    |

  8. A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another...

    Text Solution

    |

  9. Let A and B be two events, such that P(bar(A cup B))=(1)/(6), P(A cap ...

    Text Solution

    |

  10. Three boys and two girls stand in a queue. The probability, that the n...

    Text Solution

    |

  11. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  12. Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains fiv...

    Text Solution

    |

  13. If 12 indentical balls are to placed in 3 indntical boxes, then the pr...

    Text Solution

    |

  14. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  15. Let n(1)and n(2) be the number of red and black balls, respectively, i...

    Text Solution

    |

  16. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  17. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  18. Football teams T1 and T2 have to play two games against each other. It...

    Text Solution

    |

  19. Football teams T(1)and T(2) have to play two games are independent. Th...

    Text Solution

    |

  20. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |