Home
Class 12
MATHS
Two squares are chosen at random on a ch...

Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :

A

`1/9`

B

`1/18`

C

`2/7`

D

`1/7`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section B|20 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A)|80 Videos
  • JEE MAINS 2021

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

If two of the 64 squares are chosen at random on a chess board,the probability that they have a side in common is

Two squares of 1xx1 are chosen at random on a chestboard. What is the probability that they have a side in common ?

Two smallest squares are chose at random on a chess board and p/q is the probability that they have exactly one corner in common ( p and q are co-prime) then q-20p=

If 4 squares are chosen at random on a chess board,the probability that they lie on a diagonal line is

On a chess board if two squares are chosen at random, what is the probability that they haven't a side in common?

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section A
  1. Let a1, a2, …, a21 be an AP such that sum(n=1)^20 1/(an a(n+1)) = 4/9...

    Text Solution

    |

  2. Let P1, P2…, P15 be 15 points on a circle. The number of distinct tria...

    Text Solution

    |

  3. Two squares are chosen at random on a chessboard (see figure). The pro...

    Text Solution

    |

  4. Let f: R to R be a continuous function. Then lim(x to pi//4) (pi/4 in...

    Text Solution

    |

  5. The distance of line 3y - 2z - 1 = 0 = 3x - z + 4 from the point (2, -...

    Text Solution

    |

  6. Let f be any continuous function on [0, 2] and twice differentiable on...

    Text Solution

    |

  7. Let f : N rarr N be a function such that f(m + n) = f(m) + f(n) for ev...

    Text Solution

    |

  8. If alpha = lim(x rarr pi//4)""(tan^(3)x - tan x)/(cos (x + (pi)/(4))) ...

    Text Solution

    |

  9. Let vec(a), vec(b), vec(c) be three vectors mutually perpendicular to ...

    Text Solution

    |

  10. An angle of intersection of the curves , (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  11. If [x] is the greatest integer le x, then pi^(2) int(0)^(2)(sin""(pi ...

    Text Solution

    |

  12. If alpha + beta + gamma = 2pi, then the system of equations x + (cos...

    Text Solution

    |

  13. The sum of the roots of the equations, x + 1 - 2log(2)(3 + 2^(x)) + ...

    Text Solution

    |

  14. The number of solutions of the equation 32^(tan^(2)x) + 32^(sec^(2)x) ...

    Text Solution

    |

  15. Negation of the statement (p vv r) rArr (q vv r) is :

    Text Solution

    |

  16. Let A be the set of all points (alpha, beta) such that the area of tri...

    Text Solution

    |

  17. The locus of mid-points of the segments joining (-3, -5) and the point...

    Text Solution

    |

  18. Let a(1), a(2), a(3), …..be in A.P. If (a(1) + a(2) + …. + a(10))/(a(1...

    Text Solution

    |

  19. If y(dy)/(dx) = x[(y^(2))/(x^(2)) +(phi((y^(2))/(x^(2))))/(phi'((y^(2)...

    Text Solution

    |

  20. The distance of the point (-1, 2, -2) from the line of intersection of...

    Text Solution

    |