Home
Class 12
MATHS
Two different numbers are taken from the...

Two different numbers are taken from the set `{0,1,2,3,4,5,6,7,8,9,10}dot` The probability that their sum and positive difference are both multiple of 4 is `x//55 ,` then `x` equals ____.

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

If two different numbers are taken from the set {0,1,2,3, ,10}; then the probability that their sum as well absolute difference are both multiple of 4, is: (1) (14)/(45) (2) 7/(55) (3) 6/(55) (4) (12)/(55)

If R is a relation on the set A={1,2,3,4,5,6,7,8,9}"given by "xRyiffy=3x , then R =

Two numbers a ,b are chosen from the set of integers 1, ,2 3, ..., 39. Then probability that the equation 7a-9b=0 is satisfied is

If a and b are randomly chosen from the set {1,2,3,4,5,6,7,8,9} , then the probability that the expression ax^(4)+bx^(3)+(a+1)x^(2)+bx+1 has positive values for all real values of x is

If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} with replacement, determine the probability that the roots of the equation x^2+p x+q=0 are real.

Two integers xa n dy are chosen with replacement out of the set {0,1,,2,3 ,.....10}dot Then find the probability that |x-y|> 5.

A={1,2,3,4,5,6,7,8,9,10}, B={2,3,5,7}. Find A cap B

The total number of relation from the set {7,8} to the set {2,3,6,5} is-

If P and Q are chosen-randomly from the set { 1, 2, 3, 4, 5, 6. 7, 8,9,10}, with replacement, determine the probability that the roots of the equation x^2 + px + q = 0 are real.

If a digit is chosen at random from the digits 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9 , then the probability that the digit is even, is (a) 4/9 (b) 5/9 (c) 1/9 (d) 2/3

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. A single which can can be green or red with probability 4/5 and 1/5 re...

    Text Solution

    |

  2. Thirty two players ranked 1 to 32 are playing is a knockout tournament...

    Text Solution

    |

  3. Two different numbers are taken from the set {0,1,2,3,4,5,6,7,8,9,10}d...

    Text Solution

    |

  4. Two events A and B have probabilities 0.25 and 0.50 respectively the p...

    Text Solution

    |

  5. The probability of happening an event A in one trial is 0.4. Find the ...

    Text Solution

    |

  6. An unbiased die is thrown twice. Let the event A be "odd number on ...

    Text Solution

    |

  7. If A and B are two events such that P(A)>0a n d P(B)!=1, t h e nP( b...

    Text Solution

    |

  8. A single letter is selected at random from the word probability. The p...

    Text Solution

    |

  9. A bag contains some white and some black balls, all combinations of ba...

    Text Solution

    |

  10. (AuuB)' is equal to, (a)(A'uuB') (b)(A 'nnB ') (c)(A nnB) (d)(AuuB)

    Text Solution

    |

  11. The minimum number of times a fair coin needs to be tossed, so that th...

    Text Solution

    |

  12. Each question has four choices a, b, c, and d, out of which only one i...

    Text Solution

    |

  13. If Aa n dB are two events such that P(A)=0. 6 and P(B)=0. 8 , if the g...

    Text Solution

    |

  14. Statement 1: a fair coin tossed 15 times, then the probability of ge...

    Text Solution

    |

  15. If two events Aa n dB are such that P(A)=0. 3 ; P(B)=0. 4 ; P( A n...

    Text Solution

    |

  16. There are n letters and n addressed envelopes. Find the probability...

    Text Solution

    |

  17. Statement 1: if A={2,4,6,},B{1,5,3}w h e r eAa n dB are the events of ...

    Text Solution

    |

  18. Match the items in column I with column II

    Text Solution

    |

  19. Let Aa n dB b e two independent events. Statement 1: If P(A)=0. 3a n d...

    Text Solution

    |

  20. An urn contains 9 red, 7 white, and 4 black balls if two balls are dra...

    Text Solution

    |