Home
Class 12
MATHS
Let 0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=...

Let `0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=P(A)+P(B)-P(A)P(B),` then,

A

`P(B//A) = P(B) - P(A)`

B

`P(A'- B') = P(A') - P(B')`

C

`P(A uu B) = P(A') P(B')`

D

`P(A//B) = P(A) - P(B)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|37 Videos

  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P(A cup B)=P(A)+P(B)-P(A)P(B) , then

Statement-1: if A and B are two events, such that 0 lt P(A),P(B) lt 1, then P((A)/(overline(B)))+P((overline(A))/(overline(B)))=(3)/(2) Statement-2: If A and B are two events, such that 0 lt P(A), P(B) lt 1, then P(A//B)=(P(AcapB))/(P(B)) and P(overline(B))=P(A capoverline(B))+P(overline(A) cap overline(B))

If P(A|B) gt P(A) , then which of the following is correct:(A) P(B | A) lt; P(B) (B) P(AnnB) lt P(A)* P(B) (c) P(B|A) gt P(B) (D) P(B | A) = P(B)

If P(A)=3/10,P(B)=2/5 and P(AcupB)=3/5 then P(B/A)+P(A/B) equals to

If A and B be two events such that P(A) =3/8,P(B)=5/8 and P(AcupB)=3/4 then P(A/B).P(A'/B) is equal to

A and B are events of an experiment such that 0 lt P(A) , P(B) lt 1 . If P(B') gt P(A') , then

If A and B are events such that P(A)=1/2, P(B)=1/3 and P(A cap B)=1/4 , then find (a) P(A/B) (b) P(B/A)

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

If A and B are mutually exclusive events then a. P(A)lt=P( B' ) b. P(A)geqP( B ) c. P(A)

If 2P(A) = P(B) =5/13 and P(A/B) = 2/5 find P(AcupB)

VMC MODULES ENGLISH-PROBABILITY-JEE ADVANCED (ARCHIVE)
  1. If E and Fevents with P(E) <= P(F) and P(E nn F)>0, then (a) occurrenc...

    Text Solution

    |

  2. For the three events A ,B ,a n d \ C ,P (exactly one of the events Aor...

    Text Solution

    |

  3. Let 0ltP(A)lt1, 0ltP(B)lt1 and P(AcupB)=P(A)+P(B)-P(A)P(B), then,

    Text Solution

    |

  4. The probability that at least one of the event A and B occurs is 0....

    Text Solution

    |

  5. Two events A and B have probabilities 0.25 and 0.50, respectively. The...

    Text Solution

    |

  6. If A and B are two given events, then P(A cap B) is

    Text Solution

    |

  7. If M and N are any two events, the probability that atleast one of the...

    Text Solution

    |

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

    Text Solution

    |

  9. If P(AcupB) = P(AcapB) if and only if the relation between P(A) and P(...

    Text Solution

    |

  10. If the probabilities for A to fail in an examination is 0.2 and that f...

    Text Solution

    |

  11. In a certain city, only 2 newspapers A and B are published. It is know...

    Text Solution

    |

  12. If A,B and C are three events, such that P(A)=0.3, P(B)=0.4, P(C)=0.8,...

    Text Solution

    |

  13. Aa n dB are two candidates seeking admission in IIT. The probability...

    Text Solution

    |

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

    Text Solution

    |

  15. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  16. Let E^c denote the complement of an event E. Let E,F and G be pairwise...

    Text Solution

    |

  17. Indian and four American men and their wives are to be seated randomly...

    Text Solution

    |

  18. A dice is thrown. The probability that the first time 1 occurs at the ...

    Text Solution

    |

  19. There are four machines and it is known that eactly two of them are fa...

    Text Solution

    |

  20. A fair coin is tossed repeatedly. If tail appears on first four tos...

    Text Solution

    |