Home
Class 12
MATHS
Let E1 and E2 be two events such that P(...

Let `E_1 and E_2` be two events such that `P(E_1/E_2)=1/2 , P(E_2/E_1)=3/4`,` P(E1 nn E2)=1/8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - A)|20 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics- Section B|10 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos
  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

If E_(1) and E_(2) are two events such that P(E_(1))=1//4 , P(E_(2)//E_(1))=1//2 and P(E_(1)//E_(2))=1//4 , then

Suppose E_1 and E_2 are two events of a sample space such that P(E_1)=1/2, P(E_2|E_1)=1/2, P(E_1|E_2)=1/4 then P(E'_2) = _____

Let E_(1) and E_(2) be two events such that P(E_(1))=0.3, P(E_(1) uu E_(2))=0.4 and P(E_(2))=x . Find the value of x such that (i) E_(1) and E_(2) are mutually exclusive, (ii) E_(1) and E_(2) are independent.

If E_(1) and E_(2) are the two events such that P(E_(1))=1/4, P(E_(2))=1/3 and P(E_(1) uu E_(2))=1/2 , show that E_(1) and E_(2) are independent events.

If E_(1) and E_(2) are two events such that P(E_(1)) = 0.5, P(E_(2)) = 0.3 and P(E_(1) and E_(2)) = 0.1 , find (i) P(E_(1) " or " E_(2)) (ii) P(E_(1) " but not " E_(2)) (iii) P(E_(2) " but not " E_(1)) (iv) P(" neither " E_(1) " nor " E_(2))

If E_(1) and E_(2) be two events such that P(E_(1))=0.3, P(E_(2))=0.2 and P(E_(1)nnE_(2))=0.1, then find: (i) P(barE_(1)nnE_(2)) (ii) P(E_(1)nnbarE_(2))

Let E_(1) and E_(2) be the events such that P(E_(1))=1/3 and P(E_(2))=3/5 . Find : (i) P(E_(1)uuE_(2)) , where E_(1) and E_(2) are mutually ecclusive, (ii) P(E_(1) nn E_(2)) , when E_(1) and E_(2) are independent.

if E_(1) and E_(2) are two events such that P(E_(1))=(1)/(4),P((E_(2))/(E_(1)))=(1)/(2) and P=((E_(1))/(E_(2)))=(1)/(4)

If E_(1) and E_(2), are two events such that P(E_(1))=(1)/(4),P(E_(2))=(1)/(4)*(a) then E_(1) and E_(2), are independent

Let E_(1) and E_(2) be two independent events such that P(E_(1))=P_(1) and P(E_(2))=P_(2) , describe in words of the events whose probabilities are (i) P_(1)P_(2) (ii) (1-P_(1))P_(2) (iii) 1-(1-P_(1))(1-P_(2)) (iv) P_(1)+P_(2)-2P_(1)P_(2)

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-MATHEMATICS
  1. 1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2)+1/(2^10 .3^1)=k/(2^10 . 3^10...

    Text Solution

    |

  2. f(x) be a polynomial such that f(x)+f'(x)+f''(x)=x^5+64 value of lim(x...

    Text Solution

    |

  3. Let E1 and E2 be two events such that P(E1/E2)=1/2 , P(E2/E1)=3/4, P(E...

    Text Solution

    |

  4. Let A=[(0,-2),(2,0)] and M=sum(k=1)^10 A^(2k) , N=sum(k=1)^10 A^(2k-1)...

    Text Solution

    |

  5. If g(0,oo) to R is a differentiable function int[(x.(cos-sinx))/(e^x+1...

    Text Solution

    |

  6. Let f: R rarr R and g:R rarr R be two functions defined by f(x) = log...

    Text Solution

    |

  7. Let veca = a(1) hati + a2 hatj + a(3) hatk a(i) =1, 2, 3 be a vector w...

    Text Solution

    |

  8. Let y=y(x) be the solution of the differential equation (x+1)y'-y= e^(...

    Text Solution

    |

  9. If y=m1x +c1 and y=m2x +c2, m1 nem2 , are two common tangents of circ...

    Text Solution

    |

  10. Let Q be the mirror image of the point P(1, 0, 1) with respect to the ...

    Text Solution

    |

  11. If y=y(x) be the solution of given equation y^2dx+(x^2-xy+y^2)dy=0 and...

    Text Solution

    |

  12. Let x=2t, y =t^2/3 be a conic. Let S be the focus and B be the point ...

    Text Solution

    |

  13. Let a circle C in complex plane pass through the points z1=3+4i, z2=4+...

    Text Solution

    |

  14. Let Cr denote the binomial coefficient of x' in the expansion of (1 +...

    Text Solution

    |

  15. The number of 3-digit odd numbers, whose sum of digits is a multiple o...

    Text Solution

    |

  16. Let theta be the angle between the vectors veca and vecb , where |veca...

    Text Solution

    |

  17. Let the abscissae of the two points P and Q be the roots of 2x^2-rx+p=...

    Text Solution

    |

  18. The number of values of x in the interval (pi/4,(7pi)/4) for which ...

    Text Solution

    |

  19. For a natural number n, let alpha(n) = 19^(n)-12^n . Then, the value o...

    Text Solution

    |

  20. If f(x)={(2(1-x/2))^25(2+x)^25}^(1/50) and g(x)=f(f(f(x)))+f(f(x)) the...

    Text Solution

    |