Home
Class 12
MATHS
Two natural numbers x and y are chosen a...

Two natural numbers x and y are chosen at random. What is the probability that `x^(2) + y^(2)` is divisible by 5?

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

Out of 30 consecutive natural numbers, 2 are chosen at random. The probability that their sum is odd is -

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

The integers x and y are chosen at random with replacement from nine natural numbers 1,2,3,….8,9 find the probability that (x^2-y^2) is divisible by 2

Two number a and b are chosen at random from the set of first 30 natural numbers. Find the probability that a^2-b^2 is divisible by 3.

A natural number is chosen at random from the first 100 natural numbers. The probability that x+(100)/x > 50 is 1//10 b. 11//50 c. 11//20 d. none of these

Three points x, y and z are taken at random on a line segment. What is the probability that z lies between x and y.

If two distinct numbers m and n are chosen at random form the set {1, 2, 3, …, 100}, then find the probability that 2^(m) + 2^(n) + 1 is divisible by 3.

Two integers are chosen at random and multiplied. Find the probability that the product is an even integer.

If two numbers a and b are-chosen at random from the 1st 30 natural numbers, find the probability that the expresion (a^2 -b^2) is divisible by 3.

If the integers m and n are chosen at random between 1 and 100, then the probability that a number of the form 7^m+7^n is divisible by 5, equals

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. Consider a game played by 10 people in which each flips a fair up coin...

    Text Solution

    |

  2. Eight players P1, P2, P3, ...........P8, play a knock out tournament....

    Text Solution

    |

  3. Two natural numbers x and y are chosen at random. What is the probabil...

    Text Solution

    |

  4. A die is thrown 4 times. Find the probability of getting at most tw...

    Text Solution

    |

  5. Two players A and B toss a die alternately he who first throws a six w...

    Text Solution

    |

  6. A bag contains 3 white, 3 black and 2 red balls. One by one, three ...

    Text Solution

    |

  7. If p is the probability that a man aged x will die in a year, then t...

    Text Solution

    |

  8. There are 3 bags which are known to contain 2 white and 3 black, 4 ...

    Text Solution

    |

  9. A man alternately tosses a coin and throws a die beginning with the...

    Text Solution

    |

  10. If A and B each toss three coins. The probability that both get the sa...

    Text Solution

    |

  11. If n integers taken at random are multiplied together , then the p...

    Text Solution

    |

  12. A fair die is thrown 20 times. The probability that on the 10th thro...

    Text Solution

    |

  13. A is a set containing n different elements. A subset P of A is chosen....

    Text Solution

    |

  14. If a fair coin is tossed thrice find the probability that there are ...

    Text Solution

    |

  15. Consider f(x) =x^3+ax^2+bx+c Parameters a, b, c are chosen as the face...

    Text Solution

    |

  16. A dice is thrown once. Find the pobability of getting a prime number.

    Text Solution

    |

  17. In a knockout tournament, 2^(n) equally skilld players, S(1), S(2), …,...

    Text Solution

    |

  18. Let Aa n dB be two events such that P(A)=3//5a n dP(B)=2//3. Then Stat...

    Text Solution

    |

  19. The total number of ways in which 5 balls of different colours can be ...

    Text Solution

    |

  20. A single which can can be green or red with probability 4/5 and 1/5 re...

    Text Solution

    |