Home
Class 12
MATHS
Four dice are thrown simultaneously and ...

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in `2 xx 2` matrices. The probability that such formed matrices have all different entries and are non-singular, is :

A

`(45)/(162)`

B

`(23)/(81)`

C

`(22)/(81)`

D

`(43)/(162)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

Two dice are thrown simultaneously and the sum of the numbers is noted. If the sum of the numbers is 7 , then the probability is

Four dice are thrown simultaneously . Find the probability that : All of them show the same face .

Two dice are thrown simultaneously. The probability of getting the sum 2 or 8 or 12 is

Four dice are thrown simultaneously . Find the probability that : All of them show the different face .

4 dies are rolled , outcomes of dies are filled in 2xx2 matrices. Find the probability that the matrices is nonsingular and all entries are different.

Two dice are thrown simultaneously and the outcomes are noted. Find the probability that: sum of numbers on the two dice is 5.

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-A)
  1. Let f : R rarr R be defined as f(x) = {{:(-(4)/(3)x^(3) + 2x^(2) + ...

    Text Solution

    |

  2. Let y = y(x) be the solution of the differential equation "cosec"^(2) ...

    Text Solution

    |

  3. Four dice are thrown simultaneously and the numbers shown on these dic...

    Text Solution

    |

  4. Let a vector vec(a) be coplanar with vectors vec(b) = 2hat(i) + hat(j)...

    Text Solution

    |

  5. If int(0)^(100pi)(sin^(2)x)/(e^(((x)/(pi)-[(x)/(pi)]))) dx = (alpha pi...

    Text Solution

    |

  6. Let three vectors vec(a), vec(b) and vec(c ) be such that vec(a) xx v...

    Text Solution

    |

  7. The values of lambda and mu such that the system of equations x + y + ...

    Text Solution

    |

  8. If the shortest distance between the straight lines 3(x-1) = 6(y-2) = ...

    Text Solution

    |

  9. Which of the following Boolean expressions is not a tautology ?

    Text Solution

    |

  10. Let A = [a(ij)] be a real matrix of order 3 xx 3, such that a(i1) + a...

    Text Solution

    |

  11. Let [x] denote the greatest integer less than or equal to x. Then, the...

    Text Solution

    |

  12. Let the circle S : 36x^(2) + 36y^(2) - 108 x + 120 y + C = 0 be such t...

    Text Solution

    |

  13. If 'n' is the number of solution of z^2+3barz=0 where zinC then find s...

    Text Solution

    |

  14. The number of solutions of sin^(7)x + cos^(7)x = 1, x in [0, 4pi] is e...

    Text Solution

    |

  15. If the domain of the function f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sq...

    Text Solution

    |

  16. Let f : R rarr R be defined as f(x) = {{:((x^(3))/((1-cos 2x)^(2)) log...

    Text Solution

    |

  17. Let a line L : 2x + y = k, k gt 0 be a tangent to the hyperbola x^(2) ...

    Text Solution

    |

  18. If E1:x^2/a^2+y^2/b^2=1 , agtb . E2 is an ellipse which touches E1 at ...

    Text Solution

    |

  19. The sum of all those terms which are rational numbers in the expansion...

    Text Solution

    |

  20. The first of the two samples have 100 items with mean 15 and S.D.3. If...

    Text Solution

    |