Home
Class 12
MATHS
If pa n dq are chosen randomly from the ...

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.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

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 + px + q = 0 are real.

If p and q are the roots of the equation x^2+px+q =0, then

If , p , q are the roots of the equation x^(2)+px+q=0 , then

Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2)+19x+8sqrt2=0 .

If a and b are chosen randomly from the set consisting of number 1, 2, 3, 4, 5, 6 with replacement. Then the probability that lim_(x to 0)[(a^(x)+b^(x))//2]^(2//x)=6 is

For alt=0 , determine all real roots of the equation x^2-2a|x-a|-3a^2=0

If a and b are randomly chosen from the set {1,2,3,4,5,6,7,8,9} , then the probability that the expression ax^(4)+bx^(3)+(a+1)x^(2)+bx+1 has positive values for all real values of x is

Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9 =0

IF p^3-q(3p-1)+q^2=0 , find the relation between the roots of the equation x^2+px+q=0 .

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. If A and B are two independent events such that P( barA nnB)=2//15 and...

    Text Solution

    |

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

    Text Solution

    |

  3. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  4. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

  5. In a precision bombing attack, there is a 50% chance that any one bomb...

    Text Solution

    |

  6. If A and B are two events, the probability that exactly one of them oc...

    Text Solution

    |

  7. If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) ...

    Text Solution

    |

  8. One mapping is selected at random from all mappings of the set S={1,2,...

    Text Solution

    |

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

    Text Solution

    |

  10. If the probability of choosing an integer 'k' out of 2n integers 1, 2,...

    Text Solution

    |

  11. South African cricket captain lost toss of a coin 13 times out of 14. ...

    Text Solution

    |

  12. Events Aa n dC are independent. If the probabilities relating A ,B ,a...

    Text Solution

    |

  13. Statement 1: The probability of drawing either an ace or a king from...

    Text Solution

    |

  14. Five horses are in a race. Mr. A selects two of the horses at random a...

    Text Solution

    |

  15. Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let A ,B ,C ,D be independent events such that P(A)=1//2,P(B)=1//3, P(...

    Text Solution

    |

  19. A sample space consists of 3 sample points with associated probabili...

    Text Solution

    |

  20. Words from the letters of the word PROBABILITY are formed by taking al...

    Text Solution

    |