Home
Class 12
MATHS
If C and D are two events such that C su...

If C and D are two events such that `C subD`and `P(D) ne0,` then the correct statement aomog the following is

A

`P(C|D)=(P(D))/(P(D))`

B

`P(C|D)=P(C)`

C

`P(C|D)geP(C)`

D

`P(C|D)ltP(C)`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `CsubD`
`impliesCnnD=C`
`impliesP((C)/(D))=(P(CnnD))/(P(D))=(P(C))/(P(D))geP(C)`
As `0ltP(D)le1`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE|Exercise JEE Advanced Previous Year|25 Videos

  • PROBABILITY II

    CENGAGE|Exercise LINKED COMPREHENSION TYPE|11 Videos

  • PROBABILITY II

    CENGAGE|Exercise Exercise (Numerical)|20 Videos

  • PROBABILITY I

    CENGAGE|Exercise JEE Advanced Previous Year|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

Similar Questions

Explore conceptually related problems

If C and D are two events such that CsubD""a n d""P(D)!=0 , then the correct statement among the following is : (1) P(C|D)""=""P(C) (2) P(C|D)geqP(C) (3) P(C|D)""<""P(C) (4) P(C|D)""=(P(D)/(P(C)

If A and B are two events such that P(A)ne0 and P(B//A)=1 , then :

If A and B are two events such that P(A) ne0 and P(B//A)=1, then :

Suppose A and B are two events such that P(A) ne 0, P(B) ne 0, then

If axxb=bxxc ne0 , then the correct statement is

If A and B are two events such that A sub B and P(B)ne0 , then which of the following is correct:

If A and B are two events such that P(A) ne 0 and P(B) ne 1 then P((barA)/(B))

If A and B are two events such that A sub B and P(B)!=0, them which of the following is correct? (A) P(A| B) =(P(B))/(P(A))(B)P(A|B) =P(B)(D) none of these

If A and B are two events such that P(AnnB)=0. 32\ a n d\ P(B)=. 5 , thenP(A//B)

CENGAGE-PROBABILITY II-JEE Main Previous Year
  1. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  2. Consider 5 independent Bernoulli.s trials each with probability of ...

    Text Solution

    |

  3. If C and D are two events such that C subDand P(D) ne0, then the corre...

    Text Solution

    |

  4. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  5. A multiple choice emamination has 5 questions. Each question has three...

    Text Solution

    |

  6. Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...

    Text Solution

    |

  7. Twelve balls are placed in three boxes. The probability that the first...

    Text Solution

    |

  8. Let two fari six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  9. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |

  10. A bag contains 4 red and 6 black balls. A ball is drawn at random from...

    Text Solution

    |

  11. One ticket is selected at random from 50 tickets numbered 00, 01, 0...

    Text Solution

    |

  12. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  13. Consider 5 independent Bernoulli.s trials each with probability of ...

    Text Solution

    |

  14. If C and D are two events such that C subDand P(D) is not equal to 0, ...

    Text Solution

    |

  15. Three numbers are chosen at random without replacement from {1,2,3,......

    Text Solution

    |

  16. A multiple choice examination has 5 questions. Each question has th...

    Text Solution

    |

  17. Let A and B be two events such that P (bar(AuuB))=1/6, P(AnnB)=1/4and ...

    Text Solution

    |

  18. If 12 identical balls are to be placed in 3 identical boxes, then t...

    Text Solution

    |

  19. Let two fair six-faced dice A and B be thrown simultaneously. If E1 is...

    Text Solution

    |

  20. A box contains 15 green and 10 yellow balls. If 10 balls are randomly ...

    Text Solution

    |