Home
Class 12
MATHS
If two of the 64 squares are chosen at r...

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

A

`(1)/(3)`

B

`(1)/(9)`

C

`(1)/(18)`

D

`(5)/(18)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Probability Exercise 1: Single Option Single Correct Type Question|1 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos
  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos
  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

(i)If four squares are chosen at random on a chess board, find the probability that they lie on diagonal line. (ii) If two squares are chosen at random on a chess board, what is the Probability that they have exactly on corner in common? (iii) If nine squares are chosen at random on a chess board, what is the probability that they form a square of size 3x3?

According to a meteorological report for 300 consecutive days in a year , its weather forecasts were correct 180 times . Out of these days , one day is chosen at random . What is the probability that the weather forecast was not correct on that day ?

Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.

Two non negative integers are chosen at random. The probability that the sum of the square is divisible by 10, is

A drawer contains 50 bolts and 150 nuts. Half bolts and half of the nuts are rusted. If one item is chosen at random what is the probability that it is rusted or is a bolt.

A bag contains 4 tickets numbered 00, 01, 10 and 11. Four tickets are chosen at random with replacement, the probability that the sum of numbers on the tickets is 23 is

Three numbers are chosen at random without replacement from {1,2,3,...,8}. The probability that their minimum is 3, given that maximum is 6, is:

Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements is

There are three urns containing 2 white and 3 black balls, 3 white and 2 black balls, and 4 white and 1 black balls respectively. There is an equal probability of each urn being chosen. A ball is drawn at random from an urn chosen at random and is found to be white. find the probability that the ball has bee drawn from the second urn.

If a letter is Chosen at random from the English alphabet, find the probability that the letter is : a vowel.

ARIHANT MATHS-PROBABILITY-Exercise (Single Option Correct Type Questions)
  1. Four identical dice are rolled once. The probability that at least thr...

    Text Solution

    |

  2. Three of the six vertices of a regular hexagon are chosen the rando...

    Text Solution

    |

  3. If two of the 64 squares are chosen at random on a chess board, the pr...

    Text Solution

    |

  4. A letter is known to have come from CHENNAI, JAIPUR, NAINITAL, DUBAI a...

    Text Solution

    |

  5. Let a die is loaded in such a way that prime number faces are twice as...

    Text Solution

    |

  6. One ticket is selected at random from 100 tickets numbered 00, 01, 02,...

    Text Solution

    |

  7. All the spades are taken out from a pack of cards. From these cards; c...

    Text Solution

    |

  8. A number is selected at random from the first 25 natural numbers. If...

    Text Solution

    |

  9. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which 5 are draw...

    Text Solution

    |

  10. India plays two matches each with West Indies and Australia . In any ...

    Text Solution

    |

  11. Three six faced dice are tossed together, then the probability that ex...

    Text Solution

    |

  12. Three six-faced dice are thrown together. The probability that the sum...

    Text Solution

    |

  13. A book contains 1000 pages. A page is chosen at random. Find the proba...

    Text Solution

    |

  14. A bag contains 4 tickets numbered 00, 01, 10 and 11. Four tickets are ...

    Text Solution

    |

  15. Fifteen coupens are numbered 1,2,3,...15 respectively. Seven coupons a...

    Text Solution

    |

  16. A box contains tickets numbered 1 to 20.3 tickets are drawn from the b...

    Text Solution

    |

  17. An unbiased die with faces marked 1,2,3,45 and 6 is rolled four times...

    Text Solution

    |

  18. A bag contains four tickets marked with numbers 112, 121, 211,222. One...

    Text Solution

    |

  19. Two non negative integers are chosen at random. The probability that t...

    Text Solution

    |

  20. Two positive real numbers x and y satisfying xle1 and yle1 are chosen ...

    Text Solution

    |