Home
Class 12
MATHS
If each element of a second order determ...

If each element of a second order determinant is either zero or one, what is the probability that the value the determinant is non-negative?

Text Solution

Verified by Experts

Total number of required determinants `= (2)^4`
Favourable outcomes `=3`
Required Probability `=3/16`
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,each value being assumed with probability quad (1)/(2)

A determinant of the second order is made with the elements 0 and 1. What is the probability that the determinant made is non-negative?

A determinant of second order of is made with the elements 0,1 . What is the probability that the determinant is positive?

Let x be a non-zero real number. A determinant is chosen from the set of all determinants of order 2 with entries x or -x only. The probability that the value of the determinant is non-zero is

Minimum value of a second order determinant whose each is either 1 or 2 is equal to

A determinant of the second order is made with the elements 0 and 1. If (m)/(n) be the probability that the determinant made is non negative, where m and n are relative primes, then the value of n-m is

If every element of a third order determinant of value Detlta is multiplied by 5, then the value of new determinant, is

Minimum value of a second order determinant whose each entry is either 1or 2is equal to

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A die is rolled thrice, find the probability of getting a larger nu...

    Text Solution

    |

  2. If the letters of the word ATTRACTION are written down at random, f...

    Text Solution

    |

  3. If each element of a second order determinant is either zero or one, ...

    Text Solution

    |

  4. Each coefficient in the equation a x^2+b x+c=0 is determined by throwi...

    Text Solution

    |

  5. Find the number of ways in which the birthday of six different persons...

    Text Solution

    |

  6. A fair dice is rolled. Consider the following events: A={1,2,5},B={2,3...

    Text Solution

    |

  7. A coin is tossed three times. Find P(E//F) in each of the following: (...

    Text Solution

    |

  8. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

    Text Solution

    |

  9. There are two bags, one of which contains 3 black and 4 white balls, ...

    Text Solution

    |

  10. One bag contains 4 white and 5 black balls. Another bag contains 6 w...

    Text Solution

    |

  11. There are two bags. The first bag contains 5 white and 3 black balls ...

    Text Solution

    |

  12. Find the probability of drawing a one-rupee coin from a purse with two...

    Text Solution

    |

  13. A probability of student A passing an examination is 2/9 and of studen...

    Text Solution

    |

  14. X is taking up subjects Mathematics, Physics and Chemistry in the e...

    Text Solution

    |

  15. A and B throw alternately a pair of dice. A wins if he throws 6 before...

    Text Solution

    |

  16. Three persons A, B, C throw a die in succession till one gets a six ...

    Text Solution

    |

  17. In a bolt factory, machines A, B and C manufacture respectively 25%, ...

    Text Solution

    |

  18. Two thirds of the students in a class are boys and the rest girls. It ...

    Text Solution

    |

  19. An urn contains m white and n black balls. A ball is drawn at random ...

    Text Solution

    |

  20. A box has 5 blue and 4 red balls. One balls is drawn at random and ...

    Text Solution

    |