Home
Class 12
MATHS
If A and B are independent events then...

If A and B are independent events then `P(bar(A)//bar(B)) =?`

A

`1-P(A)`

B

`1-P(B)`

C

`1-P(A//bar(B))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`P(bar(A)//bar(B))=(P(bar(A)nnbar(B)))/(P(bar(B)))=(P(bar(A)).P(bar(B)))/(P(bar(B))) =P(bar(A)) =1- P(A)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY DISTRIBUTION

    RS AGGARWAL|Exercise Exercise 32|32 Videos

  • PROBABILITY DISTRIBUTION

    RS AGGARWAL|Exercise Exercise 31|18 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 29 B|2 Videos

  • PRODUCT OF THREE VECTORS

    RS AGGARWAL|Exercise Objective Questions|34 Videos

Similar Questions

Explore conceptually related problems

If A and B are two independent events such that P(bar(A)nn B)=(2)/(5) and P(A nnbar(B))=(1)/(6) then find P(A) and P(B)

If A and B are two independent events such that P(A nnbar(B))=(1)/(6) and P(bar(A)nn B)=(2)/(15) then find P(A) and P(B)

If A and B are two independent events such that P(bar(A)nn B)=(2)/(15) and P(A nnbar(B))=(1)/(6) then P(B)=

If A and B are two independent events such that : P(bar(A)nn B)=(2)/(15) and P(A nn bar(B))=(1)/(6) , then find P(A) and P(B).

If probabilities A and B are two independent events then P( A nn bar B) + P( A)P( B ) = P(A) . State true of false.

A and B are two independent events such that P(bar(A)nn B)=(8)/(25) and P(A nnbar(B))=(3)/(25) then P(A)=

If A and B are two independent events such that P(A)=(1)/(2) and P(B)=(1)/(3) then P((A nn B)/(bar(A)uubar(B))) is equal to

Consider the following statements : if A and B are independent events, then 1. A and bar(B) are independent. 2. barA and B are independent. 3. barA and barB are independent. Which of the above statements is/are correct ?

If A,B are two independent events,show that bar(A) and bar(B) are also independent.

RS AGGARWAL-PROBABILITY DISTRIBUTION-Objective Questions
  1. If A and B are events sucn that P(A) =0.3 P(B)=0.2 " and " P(A nn...

    Text Solution

    |

  2. If P(A)=(1)/(4),P(B) =(1)/(3) "and " P(A nn B)=(1)/(5) " then " P(ba...

    Text Solution

    |

  3. If A and B are events such that P(A)= 0.4 , P(B) =0,8 " and " P(B/...

    Text Solution

    |

  4. If A and B are independent events then P(bar(A)//bar(B)) =?

    Text Solution

    |

  5. If A and B ar two events such that P(A uuB) =(5)/(6) ,P(A nnB) =(...

    Text Solution

    |

  6. A die is thrown twice and the sum of the number appearing is ob...

    Text Solution

    |

  7. Two numbers are selected at random from integers 1 through 9. If th...

    Text Solution

    |

  8. In a class 40 % students read Mathematics, 25 % Biology and 15% both M...

    Text Solution

    |

  9. A family has 2 children.The probability that both of them are boys if ...

    Text Solution

    |

  10. An unbiased die is tossed twice. Find the probability of getting a 4, ...

    Text Solution

    |

  11. A coin is tossed 6 times . Find the probability of getting at le...

    Text Solution

    |

  12. A coin is tossed 5 times. What is the probability that tail appears an...

    Text Solution

    |

  13. A coin is tossed 5 times . What is the probability that head appe...

    Text Solution

    |

  14. 8 coins are tossed simultaneously . The probability of getting 6...

    Text Solution

    |

  15. A die is throws 5 times . If getting an odd number is a success...

    Text Solution

    |

  16. In 4 throws with a pair of dice , what is the probability of thr...

    Text Solution

    |

  17. A pair of dice is thrown 7 times. If getting a total of 7 is considere...

    Text Solution

    |

  18. The probability that a man can hit a target is 3/4. He tries 5 times. ...

    Text Solution

    |

  19. The probability of any ship return safely to the port is 1/5 . Find th...

    Text Solution

    |

  20. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |