Home
Class 12
MATHS
Two events A and B will be independent i...

Two events A and B will be independent if

A

`P(A' nn B') = (1 - P(A) (1 - P(B))`

B

A and B are mutually exclusive

C

P(A) + P(B) = 1

D

P(A) = P(B)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2015

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2018

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If the events A and B are independent if P (A ) = (2)/(3) and P (B ) = (2)/(7) then P (A nn B) is equal to :

If the events A and B are independent if P(A')=2/3 and P(B')=2/7 , then P(A nn B) is equal to

If events A and B are independent, then P(A cap B) =

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is

Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not A or not B)"=(1)/(4) . State whether A and B are independent ?

Events A and B are such that P(A) = (1)/(2) , P (B) = (7)/(12) P (not A or not B) = (1)/(5) . State whether A and B are independent ?

A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die' . Check whether A and B are independent events or not.

Statement-1 If A is any event and P(B)=1 , then A and B are independent Statement-2 P(AcapB)=P(A)cdotP(B), if A and B are independent

If P(A)=3/5 and P(B)=1/5 find P(A cap B) , where A and B are independent events.

If P(A)=0.3, P("not" B)=0.4,P(AintB')=0.5 and A and B are independent events, find P(A and not B)

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2017-MATHEMATICS
  1. if tan^(-1)x+ tan^(-1)y= (4 pi)/(5) then cot^(-1)x+ cot^(-1)y is equal...

    Text Solution

    |

  2. The range of the function f(x) = sqrt(9-x^(2))

    Text Solution

    |

  3. Two events A and B will be independent if

    Text Solution

    |

  4. The eccentricity of the ellipse (x^(2))/(36)+ (y^(2))/(16)=1 is

    Text Solution

    |

  5. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |

  6. if vec a= 2 hat i+ lambda hat j+ hat k and vec b= hat i+ 2 hat j+ 3 h...

    Text Solution

    |

  7. The value of cos ^(2)45^(@) - sin^(2)15^(@) is

    Text Solution

    |

  8. The range of sec^(-1)x is

    Text Solution

    |

  9. If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec ...

    Text Solution

    |

  10. int-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

    Text Solution

    |

  11. The rate of change of volume of a sphere with respect to its surface a...

    Text Solution

    |

  12. int(0)^(pi//2) (tan^(7)x)/(cot^(7)x+ tan^(7)x)dx

    Text Solution

    |

  13. If |x -2| le 1, then

    Text Solution

    |

  14. int(0.2)^(3.5)[x]dx is equal to

    Text Solution

    |

  15. The area of triangle with vertices (K, 0), (4,0), (0, 2) is 4 square u...

    Text Solution

    |

  16. If F(x)= {(Kx^(2) if x le 2),(3 if x gt 2):} is continuous at x = 2, ...

    Text Solution

    |

  17. If A = 1/pi [(sin^(-1)(xpi),tan^(-1)(x/pi)),(sin^(-1)(x/pi),cot^(-1)(p...

    Text Solution

    |

  18. If f(x) = 8x^(3), g(x) = x^((1//3)), then fog(x) is

    Text Solution

    |

  19. Delta= |[Ax,x^(2),1],[By,y^(2),1],[Cz, z^(2),1]| and Delta(1)= |[A,B,C...

    Text Solution

    |

  20. if sinx =(2t)/(1+t^(2)) , tany= (2t)/(1- t^(2)) then (dy)/(dx) is equa...

    Text Solution

    |