Home
Class 12
MATHS
Given that E and F are events such that...

Given that E and F are events such that `P (E) = 0. 6`, `P (F) = 0. 6`, `P(F) = 0. 3`and `P(EnnF)= 0. 2`, find `P (E|F)`and `P (F|E)`.

Text Solution

Verified by Experts

The correct Answer is:
N/a
Given `P(E)=0.6, P(F)=0.3`
and `P(EnnF)=0.2`
`:.` We know that
`P(E/F)=(P(EnnF))/(P(F))=0.2/0.3=2/3`
and `P(F/E)=(P(FnnE))/(P(E))=0.2/0.6=1/3`
Promotional Banner

Topper's Solved these Questions

  • PROBABIILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 13.2|18 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 13.3|14 Videos

  • PROBABIILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 13 G (questions For Competitive Examinations)|10 Videos

  • MATRICES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exerice|15 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If E and F are two events such that P (E cup F) = 0.6, P (E cap F) = 0.3, P(F) = 0.2 . Find P ("not" E) .

If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F) = 1/8, find P(E or F)

Given that A\ a n d\ B are two events such that P :(A)=0. 6 ,\ P(B)=0. 3\ a n d\ P(AnnB)=0. 2 ,\ find P(A/B)a n d\ P(B//A)dot

If A and B are two events such that P (A) = 0.3, P (B) = 0.6 and P ((B)/(A)) = 0.5 find P (A cup B)

If E and F are two events such that P(E) =(1)/(4) ,P(F) = (1)/(2) and P(E nn F) = (1)/(8) , then find P( E' nn F')

If P(E) = 0.59 , find P(not E).

If A and B are events such that P(A)=0. 6 ,P(B)=0. 3 and P(AnnB)=0. 2 , find P(A/B) and P(B/A)dot

If E and F are events such that P(E) = 1/4, P(F) =1/2 and P(E and F) = 1/8, find (i) P(E or F) , (ii) P( - E and - F).

If E and F are events such that P(E)=1/4, P(F)=1/2 and P(E"and"F)=1/8 , find (i) P(E"or"F) (ii) P (not E and not F).

A and B are two events such that P(A)=0.5, P(B)=0.4 and (A "or"B)=0.6 , then find P(A "and"B) .

NAGEEN PRAKASHAN ENGLISH-PROBABIILITY-Exercise 13.1
  1. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

    Text Solution

    |

  2. Compute P(A|B). if P(B) = 0. 5and P(AnnB)= 0. 32

    Text Solution

    |

  3. If P (A) = 0. 8, P(B) = 0. 5and P(B|A) = 0. 4, find (i) P(AnnB) (ii) ...

    Text Solution

    |

  4. Evaluate P(AuuB), if 2P(A) = P(B) =5/(13)and P(A|B) =2/5

    Text Solution

    |

  5. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

    Text Solution

    |

  6. A coin is tossed three times. Find P(A//B) in each of the following: A...

    Text Solution

    |

  7. Two coins are tossed once. P(E//F) in each of the following: E= Tail a...

    Text Solution

    |

  8. Determine P (E|F) in : A die is thrown three times, E : 4 appears on t...

    Text Solution

    |

  9. Determine P (E|F) in : Mother father and son line up at random for ...

    Text Solution

    |

  10. A black and a red dice are rolled. (a) Find the conditional probab...

    Text Solution

    |

  11. A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3}and G ...

    Text Solution

    |

  12. Assume that each child born is equally likely to be a boy or a girl. I...

    Text Solution

    |

  13. An instructor has a test bank consisting of 300 easy True/False que...

    Text Solution

    |

  14. Given that the two number appearing on throwing two dice are different...

    Text Solution

    |

  15. Consider the experiment of throwing a die if a multiple of 3 comes up,...

    Text Solution

    |

  16. In each of the Exercises choose the correct answer:If P(A) =1/2, P (B...

    Text Solution

    |

  17. If A and B are two events such that A nn B !> phi, p(A/B) = P(B/A). Th...

    Text Solution

    |