Home
Class 12
MATHS
If A and B are two events such that P(A)...

If A and B are two events such that P(A) = P(B) = 1, then show that ,
P(A+B) = 1, P(AB) = 1

Text Solution

Verified by Experts

The correct Answer is:
P(A+B) = 1
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPER QUESTIONS|20 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTION|61 Videos

  • PLANE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination( E Assertion - Reason Type )|2 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events., such that P(A) = P(B)-= 1, then Prove that P(A + B)= 1.

If Aa n dB are two events such that P(A)=1/2a n dP(B)=2/3 . Then show that P(A U B) ge 2/3 .

Choose the correct answer: If A and B are any two events such that P(A) + P(B) - P(A and B) = P(A), then

Choose the correct answer: If A and B are two events such that P(A) != 0 and P(B|A) = 1, then

If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).

If P(A)=a, P(B)=b , then show that P(A//B) gt (a+b-1)/(b) .

If A and B are two events and P(A) = (3)/(4), P(B) = (5)/(8) , then -

If A and B are two events such that P(A cup B) = (3)/(4), P(AcapB) =(1)/(2) and P(A) = (2)/(3) , then the value of 12 times of P(B) is -

If A and B are two independent events such that P (A) = 1//2, P(B)=1//5, then find P(AuuB) and P(A|B)

Let A and B be two events such that P(A cap B) = 1/6, P(A cup B) = 31/45 "and" P bar((B))= 7/10 -

CHHAYA PUBLICATION-PROBABILITY-SAMPLE QUESTIONS FOR COMPETITIVE EXAMS
  1. If A and B are two events such that P(A) = P(B) = 1, then show that , ...

    Text Solution

    |

  2. If A and B are two independent events of a random experiment and P(A) ...

    Text Solution

    |

  3. If A and B are two events and P(A)= (3)/(4), P(B) = (5)/(8), then -

    Text Solution

    |

  4. If A and B are two mutually exclusive events, then-

    Text Solution

    |

  5. A coin is tossed 2n times. The probability of getting head n times, is...

    Text Solution

    |

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

    Text Solution

    |

  7. If A and B are two events such that P(AcupB) = (3)/(4), P(AcapB) =(1)/...

    Text Solution

    |

  8. If A,B and C are three independent events such that P(B) = (3)/(2)P(A)...

    Text Solution

    |

  9. An ubiased die is thrown, getting an even number is 3 times the probab...

    Text Solution

    |

  10. A problem in mathematics is given to two students A and B. The probabi...

    Text Solution

    |

  11. A fair coin is tossed 8 times, then the probability of getting 3H is (...

    Text Solution

    |

  12. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  13. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  14. If the squares of a 8xx8 chessboard are painted either red or black at...

    Text Solution

    |

  15. Probability that husband is telling the truth is 0.8, and the probabil...

    Text Solution

    |

  16. Two dice are rolled.Let's r denotes the sum of the number appearing on...

    Text Solution

    |

  17. Two dice are rolled the probability that the sum is neither 8 nor 9 is

    Text Solution

    |

  18. Each of the following question contain two statements- Statemnet I and...

    Text Solution

    |

  19. Each of the following question contain two statements- Statemnet I and...

    Text Solution

    |