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 PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise NUMARICAL VALUE TYPE|24 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events such that A subset B and P(B) != 0 , then which of the following is correct?

For two events A and B , the correct statement is/ are -

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

A and B are two independent events such that P(A^C) = 0.7, P(B) = k and P(A uB) = 0.8 , then K is

If A ne 0 and B ne 0 are two 2xx2 matrices such that AB = 0, then which of the following is correct ?

A and B are two independent events such that P(A)=(1)/(2) and P(B)=(1)/(3) . Then the value of P(A^(c ) cap B^(c )) is -

If A and B are two events such that P(A)=0.3 , P(B)=0.25 , P(AnnB)=0.2 , then P(((A^(C ))/(B^(C )))^(C )) is equal to

Two events A and B are given. What conclusion can be made in each of the following cases: P(A) ne P(B)

If A and B are two independent events, prove that P(AuuB).P(A'nnB')<=P(C) , where C is an event defined that exactly one of A and B occurs.

Two events A and B are given. What conclusion can be made in each of the following cases: P(A cap B) ne 0

CENGAGE PUBLICATION-PROBABILITY II-SINGLE CORRECT ANSWER TYPE
  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 Pbar((AuuB))=1//6,P (AnnB)=1//4an...

    Text Solution

    |

  7. Twelve balls are distributed among three boxes, find the probability ...

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

    Text Solution

    |

  12. Four person independently solve a certain problem correctly with pr...

    Text Solution

    |

  13. A computer producing factory has only two plants T(1) and T(2). Plant ...

    Text Solution

    |

  14. One ticket is selected at ransom form 50 tickets numbered 00,01,02,…,4...

    Text Solution

    |

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

    Text Solution

    |

  16. Consider 5 independent Bernoulli's trials each with probability of at ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |

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

    Text Solution

    |