Home
Class 11
MATHS
Is it true that for any sets A and B, ...

Is it true that for any sets A and B, `P (A) uuP (B) `=`P(Auu B)` ? Justify your answer.

Text Solution

Verified by Experts

let `A={0,1}`
` A cup B={0,1,2}`
`P(A)={phi,{0},{1},{0,1}}`
`P(B)={phi,{1},{2},{1,2}}`
...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

Is it true that for any sets A and BP(A)uu P(B)=P(A uu B) ? Justify your answer.

For all sets A,B and C : Is (A-B) cap(C-B)=(AcapC)-B ? Justify your answer :

For all set A,B and C is (A cap B)cupC = A cap (B cup C) ?Justify your answer.

For any sets A and B .show that P(A nn B)=P(A)nn P(B)

For set A and B, is it true that : P(A)cupP(B)=P(A cupB) Give reason for your answer.

For any sets A and B , prove that : P(AcapB)=P(A)capP(B) .

For any two events A and B prove that P(A uu B)<=P(A)+P(B)

For any two events A and B P(AuuB)=P(A)+P(B)- ……………………...

Why is sin(A+B)=sin A+sin B false?. Justify your answer

RD SHARMA-SETS-Solved Examples And Exercises
  1. For any two sets A\ a n d\ B , prove that AnnB=phi=>AsubeB^(prime)dot

    Text Solution

    |

  2. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

    Text Solution

    |

  3. Is it true that for any sets A and B, P (A) uuP (B) =P(Auu B) ? Just...

    Text Solution

    |

  4. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

    Text Solution

    |

  5. Show that for any set A and B A = (AnnB)uu(A-B) and Auu(B-A) = (AuuB...

    Text Solution

    |

  6. For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

    Text Solution

    |

  7. For any two sets A and B prove the following: A-(A-B)=AnnB

    Text Solution

    |

  8. For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

    Text Solution

    |

  9. In a class of 35 students, 24 like to play cricket and 16 like to p...

    Text Solution

    |

  10. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

    Text Solution

    |

  11. Out of 500 car owners investigated, 400 owned car A and 200 owned c...

    Text Solution

    |

  12. A market research group conducted a survey of 2000 consumers and re...

    Text Solution

    |

  13. A survey shows that 63% of the Americans like cheese whereas 76% like ...

    Text Solution

    |

  14. A college warded 38 medals in football, 15 in basketball and 20 in ...

    Text Solution

    |

  15. If A and B are two sets such that n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=3...

    Text Solution

    |

  16. If X and Y are two sets such that X has 40 elements, X uuY has 60 e...

    Text Solution

    |

  17. In a school there are 20 teachers who teach mathematics or physics....

    Text Solution

    |

  18. In a group of 70 people, 37 like coffee, 52 like tea and each perso...

    Text Solution

    |

  19. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  20. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |