Home
Class 12
MATHS
Two numbers b and c are chosen at random...

Two numbers b and c are chosen at random with replacement from the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that `x^2+bx+cgt0 for all xinR,` is

A

`(17)/(123)`

B

`(32)/(81)`

C

`(82)/(125)`

D

`(45)/(143)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Example|4 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos
  • PERMUTATIONS AND COMBINATIONS

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

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

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 without replacement from {1,2,3,...,8}. The probability that their minimum is 3, given that maximum is 6, is:

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

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is a. 1//15 b. 14//15 c. 1//5 d. 4//5

If p and q are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} with replacement, determine the probability that the roots of the equation x^2+p x+q=0 are real.

A bag contains 4 tickets numbered 00, 01, 10 and 11. Four tickets are chosen at random with replacement, the probability that the sum of numbers on the tickets is 23 is

If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} with replacement, determine the probability that the roots of the equation x^2+p x+q=0 are real.

A game of chance consists of spining an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8, and these are equally likely outocomes. What is the probability that it will point at (i) 8 ? (ii) an odd number ? (iii) a number greater than 2 ? (iv) a number less than 9 ?

Three different numbers are selected at random from the set A = (1, 2, 3,...., 10). The probability that the product of two of the numbers is equal to the third is

Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains five cards bearing numbers 1, 2, 3,4, 5; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let x_i be the number on the card drawn from the ith box, i = 1, 2, 3. The probability that x_1, x_2, x_3 are in an aritmetic progression is

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two numbers b and c are chosen at random with replacement from the num...

    Text Solution

    |

  2. find the derivative of sin x cos x

    Text Solution

    |

  3. A six-faced fair dice is shown until 1 comes. Then the probability tha...

    Text Solution

    |

  4. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  5. Three houses are available in a locality . Three persons apply for th...

    Text Solution

    |

  6. A randam variable X has Poisson's distribution with mean 2. Then , P(X...

    Text Solution

    |

  7. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  8. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  9. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  10. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  11. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  12. A pair of four dice is thrown independently three times. The probabili...

    Text Solution

    |

  13. Two aeroplanes I and II bomb a target in succession. The probabilitie...

    Text Solution

    |

  14. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  15. Evluate int (cosx+x) dx

    Text Solution

    |

  16. A die is thrown. Let A be the event that the number obtained is grea...

    Text Solution

    |

  17. It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2...

    Text Solution

    |

  18. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  19. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  20. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  21. In a binomial distribution B (n, p=(1)/(4)), if the probability of at...

    Text Solution

    |