Home
Class 12
MATHS
Let X be the set of all five digit numbe...

Let X be the set of all five digit numbers formed using `1,2,2,2,4,4,0`. For example, `22240` is in `X` while `02244` and `44422` are not in `X` . Suppose that each element of X has an equal chance of being chosen. Let p be the conditional probability that an element chosen at random is a multiple of `20` given that it is a multiple of `5`. Then the value of `38p` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE ADVANCED 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise MATHEMATICS (SECTION -3)|4 Videos
  • MOCK TEST 2022

    JEE ADVANCED PREVIOUS YEAR|Exercise Question|18 Videos

Similar Questions

Explore conceptually related problems

A two digits number is chosen at random. Find the probability that it is a multiple of 7.

A number is chosen at random from the set {1,2,3, . . . 2000} Let p be the probability that the chosen number is a multiple of 3 or a multiple of 7 Then the value of 500p is

If a three digit number is chosen at random, what is the probability that the chosen number is a multiple of 2?

If a two digits number is chosen at random, what is the probability that the number chosen is a multiple of 3?

If a two digits number is chosen at random, what is the probability that the number chosen is a multiple of 3?

Suppose an integer from 1 through 1000 is chosen at random,find the probability that the integer is a multiple of 2 or a multiple of 9.

A number from 11 to 30 was chosen at random. Find the probability of this chosen number being a multiple of 2.

Out of the first 25 natural numbers 2 are chosen at random: The probability for one of the numbers is to be a multiple of 3 and the other to be a multiple of 5.

JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
  1. Consider the given data with frequency distribution {(xi,3,8,11,10,5...

    Text Solution

    |

  2. Let l1 and l2 be the lines vec r1= gamma (hati+ hatj +hat k ) and vecr...

    Text Solution

    |

  3. Let z be a complex number satisfying |z|^3 +2z^2 +4barz -8 =0 , where ...

    Text Solution

    |

  4. Let f:[1,oo) to RR be a differentiable function such that f(1)=1/3 and...

    Text Solution

    |

  5. Consider an experiment of tossing a coin repeatedly until the outcomes...

    Text Solution

    |

  6. For any y in RR , let cot^-1(y) in (0,pi) and tan^-1(y) in (-pi/2,pi/2...

    Text Solution

    |

  7. Let the position vectors of the points P ,Q, R and S be veca=hati +2ha...

    Text Solution

    |

  8. Let M = (a(ij)) , i , j in {1,2,3}, be the 3 xx 3 matrix such that a(i...

    Text Solution

    |

  9. Let f:(0,1) to RR be the function defined as f(x)=[4x](x-1/4)^2(x-1/2)...

    Text Solution

    |

  10. Let S be the set of all twice differentiable functions f from RR to RR...

    Text Solution

    |

  11. For x in RR let tan^-1(x) in (-pi/2 ,pi/2). Then the minimum value of ...

    Text Solution

    |

  12. For x in RR, let y(x) be a solution of the differential equation (x^2...

    Text Solution

    |

  13. Let X be the set of all five digit numbers formed using 1,2,2,2,4,4,0....

    Text Solution

    |

  14. Let A1, A2, A3, . . . ,A8 be the vertices of a regular octagon that li...

    Text Solution

    |

  15. Let R={((a,3,b),(c,2,d),(0,5,0)):a,b,c,d in {0,3,5,7,11,13,17,19}}. Th...

    Text Solution

    |

  16. Let C1 be the circle of radius 1 with center at the origin. Let C2 be ...

    Text Solution

    |

  17. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  18. Consider an obtuse angled triangle ABC in which the difference between...

    Text Solution

    |

  19. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |

  20. Consider the 6 xx 6 square in the figure. Let A1,A2, . . .,A(49) be th...

    Text Solution

    |