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 of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability `(1)/(2)`)

Text Solution

Verified by Experts

The correct Answer is:
`(3)/(16)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT BANGLISH|Exercise EXERCISE 3.5|15 Videos
  • MATRICES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

If the entries in a 3xx3 determinant are either 0 or 1, then the greatest value of their determinants is

A determinant is chosen at random from the set of the determinants of order 2 with element 0 or 1 only. Find the probability that the determinant chosen is non-zero.

A determinant of second order is made with the elements 0 and 1. Find the number of determinants with non-negative values.

Express the square of |{:(a_1,b_1,0),(a_2,b_2,0),(a_3,b_3,0):}| as a third order determinant ,what is the value of this determinant ?

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let (3)/(4) be the probability that he knows the answer and (1)/(4) be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability (1)/(4) . What is the probability that the student knows the answer given that he answered it correctly?

If the value of the determinant |(a,1, 1) (1,b,1) (1,1,c)| is positive then a. a b c >1 b. a b c> -8 c. a b c -2

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value -1 . Then prove that B equals to C

Prove that , the value of the determinant |{:(x+1,x+2,x+4),(x+3,x+5,x+8),(x+7,x+10,x+14):}| is independent of x and find the value of the determinant.

Each of a and b can take values 1 or 2 with equal probability. The probability that the equation ax^(2)+bx+1=0 has real roots, is equal to-

The values of rate constants of some reactions are given below . Determine the order in each case. k=6.2xx10^(-3)s^(-1)

NCERT BANGLISH-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. A and B are two events such that P (A) != 0. Find P(B|A), if (i) A ...

    Text Solution

    |

  2. A couple has two children, (i) Find the probability that both child...

    Text Solution

    |

  3. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  4. Suppose that 90% of people are right-handed. What is the probability t...

    Text Solution

    |

  5. An urn contains 25 balls of which 10 balls bear a mark 'X' and the rem...

    Text Solution

    |

  6. In a hurdle race, a player has to cross 10 hurdles. The probability th...

    Text Solution

    |

  7. A die is thrown again and again until three sixes are obtained. Find t...

    Text Solution

    |

  8. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  9. An experiment succeeds twice as often as it fails. Find the probabilit...

    Text Solution

    |

  10. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  11. In a game, a man wins a rupee for a six and loses a rupee for any othe...

    Text Solution

    |

  12. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

    Text Solution

    |

  13. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

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

    Text Solution

    |

  15. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  16. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  17. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  18. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

  19. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |