Home
Class 12
MATHS
Let A and B be two events such that P(A ...

Let A and B be two events such that `P(A nn B)=(1)/(6),P(A uu B)=(31)/(45)` and `P(bar(B))=(7)/(10)` then

A

A and B are independent

B

A and B are mutually exclusive

C

`P((A)/(B))lt(1)/(6)`

D

`P((B)/(A))lt(1)/(6)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

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 -

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 events and P(A cup B)=(5)/(6), P(A cap B)=(1)/(3) and P(B^(c ))=(1)/(2) then A and B are -

Let A and B be two events such that Pbar((A cup B)) = 1/6, P(A cap B) "and" P(bar (A)) = 1/4, "where" barA stands for the complement of the event A. Then the events A and B are-

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).

Let A,B,C be 3 events such that P(A//B)=(1)/(5) , P(B)=(1)/(2) , P(A//C)=(2)/(7) and P(C )=(1)/(2) , then P(B//A) is

If A and B are events such that P(A'uuB') = (3)/(4), P(A'nnB') = (1)/(4) and P(A) = (1)/(3) , then find the value of P(A' nn B)

Let A and B be two events such that Pbar((AuuB))=1//6,P (AnnB)=1//4and P(barA)=1//4where barA stands for complement of event A. Then events A and B are

Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

Let A and B be two events such that P(A) =1/3,P(B)=1/4 and P(AnnB)=1/4 . Find P(A//B),P(B//A),P(AuuB) .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. If the function f : R to R is defined by f(x)=(x^(2)+1)^(35)AA x in R,...

    Text Solution

    |

  2. Standard Deviation of n observations a(1), a(2), a(3),….a(n) is sigma....

    Text Solution

    |

  3. Let A and B be two events such that P(A nn B)=(1)/(6),P(A uu B)=(31)/(...

    Text Solution

    |

  4. The value of cos 15^(@)cos 7(1^(@))/(2)sin 7(1^(@))/(2) is

    Text Solution

    |

  5. The smallest positive root of the equation tan x-x=0 lies in

    Text Solution

    |

  6. If in a triangle ABC, AD, BE and CF are the altitudes and R is the cir...

    Text Solution

    |

  7. The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are alwa...

    Text Solution

    |

  8. The line AB cuts off intercepts 2a from the axes. From any point. P on...

    Text Solution

    |

  9. x+8y-22=0, 5x+2y-34=0, 2x-3y+13=0 are the three sides of a triangle. T...

    Text Solution

    |

  10. The line through the points (a, b) and (-a, -b) passes through the poi...

    Text Solution

    |

  11. The locus of the point of intersection of the straight lines (x)/(a)+(...

    Text Solution

    |

  12. The equation of a line parallel to the line 3x+4y=0 and touching the c...

    Text Solution

    |

  13. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  14. The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-10...

    Text Solution

    |

  15. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  16. For non - zero vectors vec(a) and vec(b) id |vec(a)+vec(b)|lt|vec(a)-v...

    Text Solution

    |

  17. General solution of y(dy)/(dx)+by^(2)=a cos x, 0 lt x lt 1 is Here ...

    Text Solution

    |

  18. The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate dec...

    Text Solution

    |

  19. The letters of the word COCHIN are permuted and all permutations are a...

    Text Solution

    |

  20. If the matric A=((2,0,0),(0,2,0),(2,0,2)), then A^(n)=((a,0,0),(0,a,0)...

    Text Solution

    |