Home
Class 12
MATHS
A determinant of second order is made wi...

A determinant of second order is made with the elements 0 and 1. What is the probability that the determinant made is (i) non-negative (ii) non-zero

Text Solution

Verified by Experts

The correct Answer is:
`(i) (13)/(16)` `(ii) (3)/(8)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise-I|125 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise-II|130 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Exercise 2.3(long answer type question)|9 Videos
  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the value of the determinant chosen is positive and nonzero

A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that the determinant chosen is nonzero is

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

Find the probability that a non-leap year contains i) 53 sundays ii) 52 Sundays only.

Find the probability that a non- leap year contains i) 53 Sunday ii) 52 Sundays only.

The least value of the product xyz for which the determinant |(x,1,1),(1,y,1),(1,1,z)| is non-negative is

AAKASH SERIES-PROBABILITY-Additional Exercise
  1. If 5 fair coins are tossed, find the probability of getting heads in m...

    Text Solution

    |

  2. Two cards are drawn from a pack at a time. Find the probability that o...

    Text Solution

    |

  3. A determinant of second order is made with the elements 0 and 1. What ...

    Text Solution

    |

  4. If 7 squares are chosen at random on a chess board, the probability th...

    Text Solution

    |

  5. Find the probability that leap year contains 52 mondays and 52 Sundays

    Text Solution

    |

  6. If P(A)=0.5, P(B)=0.3 and P(AnnB)=0.1 then find the probability that e...

    Text Solution

    |

  7. If two cards are drawn from a pack, find the probability of getting on...

    Text Solution

    |

  8. If 2 dice are rolled then find the probability that the dice show diff...

    Text Solution

    |

  9. If 2 dice are rolled, find the probability of getting prime sum.

    Text Solution

    |

  10. If one card is drawn at random from a pack of cards then show that eve...

    Text Solution

    |

  11. Let A be the event of having 53 sundays and B be the event of having 5...

    Text Solution

    |

  12. If six coins are tossed then find the probability of getting atleast 4...

    Text Solution

    |

  13. Two dice are rolled and given that the sum of them is atmost 11. Find ...

    Text Solution

    |

  14. Two coins are tossed . The probability of getting 2 tails if it is kno...

    Text Solution

    |

  15. From 1,2,3,…..20 if two natural numbers are selected, find the probabi...

    Text Solution

    |

  16. Two cards are drawn from a pack of 52 cards . What is the probability ...

    Text Solution

    |

  17. A speaks truth in 60% of the cases and B in 70% of the cases. What is ...

    Text Solution

    |

  18. One die and a coin tossed simultaneously find the probability of getti...

    Text Solution

    |

  19. A bag contains 4 white and 3 black balls. Another bag contains 5 white...

    Text Solution

    |

  20. If A, B, C are three mutually exclusive and exhaustive events such tha...

    Text Solution

    |