Home
Class 12
MATHS
If P(A) and P(B) are the probabilities o...

If P(A) and P(B) are the probabilities of occurrence of two events A and B, then the probability that exactly one of the two events occur, is

A

`P(AcupbarB)+P(barAcapB)`

B

`P(AcupB)-P(AcapB)`

C

P(A) + P(B)

D

`P(A) + P(B) -2P(AcapB)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|21 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-E (assertion -reason type questions)|15 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))|65 Videos

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-D:(Assertion-Reason Type Questions)|12 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

If M and N are any two events,then the probability that exactly one of them occurs is

If A and B are two events,the probability that at most one of these events occurs is

If P (E) denotes probability of occurrence of event E, then :

If the probability of occurrence of an event is p then the probability of non-happening of this event is

The probability of non-occurrence of an event is 5/12 . Find the probability of the occurrence of the event.

If A and B are two events, the probability that exactly one of them occurs is given by

Knowledge Check

  • If A and B are two events, then the probability that exactly one of them occurs, is given by

    A
    `P (A) + P (B) -2 P (A nn B)`
    B
    `P (A nn B) - P (A ' nn B)`
    C
    `P (A uu B) + P (A nnB)`
    D
    `P (A') + P (B') + 2 P (A ' nn B)`

  • If A and B are any two events, the probability that exactly one of them occurs is

    A
    `P(A)+P(B)-2P(A cap B)`
    B
    `P(overline(A))+P(overline(B))-2P(overline(A)cap overline(B))`
    C
    `P(AcupB)+P(A cap B)`
    D
    `P(A)-P(B)+2P(overlineAcap B)`

  • If P (E) denotes probability of occurrence of event E, then :

    A
    `P(E)in [-1,1]`
    B
    `P(E) in (1,oo)`
    C
    `P(E)in(0,1)`
    D
    `P(E)in[0,1]`
    • AAKASH INSTITUTE-PROBABILITY-ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))
    1. If P(A) and P(B) are the probabilities of occurrence of two events A a...

      Text Solution

      |

    2. There are 7 seats in a row. Three persons take seats at random the pro...

      Text Solution

      |

    3. Box A has 3 white and 2 red balls, box B has 2 white and 4 red balls. ...

      Text Solution

      |

    4. If P(A) = 2/3, P(B) = 4/9 and P(AcapB)=cap, then P(A'capB') is greater...

      Text Solution

      |

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

      Text Solution

      |

    6. Two dices are rolled and numbers r(1) and r(2) are chosen. Let 1+omega...

      Text Solution

      |

    7. Delegates of the five of the member countries of SAARC decide to hold ...

      Text Solution

      |

    8. If a Grand father along with his two grandsons and four grand daughter...

      Text Solution

      |

    9. A quadratic equation is chosen from the set of all the quadratic equat...

      Text Solution

      |

    10. A sample space consists of 3 sample points with associated probabiliti...

      Text Solution

      |

    11. If A and B are two independent events such that P(barA nn B)=2/15 and...

      Text Solution

      |

    12. For two events A and B, let P(A) = 3/5, P(B) = 2/3, then which of the ...

      Text Solution

      |

    13. An unbiased coin is tossed n times. Let X denote the number of times h...

      Text Solution

      |

    14. A fair coin is tossed 99 times. If X is the number of times in which h...

      Text Solution

      |

    15. Consider the following events for a family with children A = {Childr...

      Text Solution

      |

    16. From the set S = {0, 1, 2, …., 53}, three distinct numbers are chosen....

      Text Solution

      |

    17. A fair coin is tossed three times. Consider the events A = {First to...

      Text Solution

      |

    18. If A and B are two events such that P(A) = 1/2 and P(B) = 1/3 then whi...

      Text Solution

      |

    19. A, B, C in order roll a dice on the condition that one who gets a six,...

      Text Solution

      |

    20. There are 3 men, 2 women and 4 children. If 4 persons are selected the...

      Text Solution

      |