Home
Class 12
MATHS
If P(A) = 7/(13), P(B) =9/(13)and P(AnnB...

If `P(A) = 7/(13)`, `P(B) =9/(13)`and `P(AnnB) =4/(13)`, evaluate`P(A|B)`.

Text Solution

AI Generated Solution

To find the probability of event A given that event B has occurred, we can use the formula for conditional probability: \[ P(A|B) = \frac{P(A \cap B)}{P(B)} \] ### Step 1: Identify the given probabilities From the problem, we have: ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT|Exercise EXERCISE 13.1|17 Videos

  • PROBABILITY

    NCERT|Exercise MISCELLANEOUS EXERCISE|19 Videos

  • PROBABILITY

    NCERT|Exercise Exercise 13.4|17 Videos

  • MATRICES

    NCERT|Exercise EXERCISE 3.3|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 1.3|14 Videos

Similar Questions

Explore conceptually related problems

If P(A)=7/(13),\ P(B)=9/(13)a n d\ P(AnnB)=4/(13),fin d\ P(A//B)dot

If P(A) = 5/13, P(B)=7/13 and P(AcapB) = 2/13, " evaluate " P(A|B) " and " P(AcupB).

If P(A)(7)/(13),P(B)=(9)/(13) and P(A nn B)=(4)/(13), find P((A)/(B))

Let P(A)=7/(13), P(B)=9/(13) and P(AnnB)=4/(13) . Then P( A //B)= 5//9 b. 4//9 c. 4//13 d. 6//13

Let P(A) = (7)/(13) , P(B) = (9)/(13) and P (A cap B) = (4)/(13) . Then P (A | B) is equal to

For two events A and B P(A)=7/13, P(B)=9/13 and (AnnB)=4/13 . Find the value of P(A//B) .

If P (A) = 7/3, P (B)= 9/13, "and" P(A cap B) = 4/13 , then find P (A/B)

If P(E)=(7)/(13),P(F)=(9)/(13) and P(E nn F)=(4)/(13) , then P(E//F) __________.

If P(A)=7/13,P(B)=9/13 and P(AcapB)=4/13 , then P(A'/B) is equal to

If P(A)=(1)/(4), P(B)=(1)/(13) and P(AcapB)=(1)/(52) , then the value of P(overline(A)capoverline(B)) , is

NCERT-PROBABILITY-Solved Examples
  1. If a machine is correctly set up. it produces 90% acceptable items. If...

    Text Solution

    |

  2. Prove that if E and F are independent events, then so are the events E...

    Text Solution

    |

  3. A die is thrown. If E is the event ‘the number appearing is a multipl...

    Text Solution

    |

  4. An unbiased die is thrown twice. Let the event A be odd number on the...

    Text Solution

    |

  5. Bag I contains 3 red and 4 black balls while another Bag II contains ...

    Text Solution

    |

  6. If A and B are two independent events, then the probability of occurr...

    Text Solution

    |

  7. A person has undertaken a construction job. The probabilities are 0.6...

    Text Solution

    |

  8. Three cards are drawn successively, without replacement from a pack o...

    Text Solution

    |

  9. An urn contains 10 black and 5 white balls. Two balls are drawn from ...

    Text Solution

    |

  10. If P(A) = 7/(13), P(B) =9/(13)and P(AnnB) =4/(13), evaluateP(A|B).

    Text Solution

    |

  11. Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly a...

    Text Solution

    |

  12. A family has two children. What is the probability that both the chil...

    Text Solution

    |

  13. A die is thrown three times. Events A and B are defined as below:A : ...

    Text Solution

    |

  14. In a school there are 1000 students, out of which 430 are girls. It i...

    Text Solution

    |

  15. A die is thrown twice and the stun of the numbers appearing is observ...

    Text Solution

    |

  16. Consider the experiment of tossing a coin. If the coin shows head, to...

    Text Solution

    |

  17. Suppose that the reliability of a HIV test is specified as follows: O...

    Text Solution

    |

  18. In a factory which manufactures bolts, machines A. B and C manufacture...

    Text Solution

    |

  19. Three coins are tossed simultaneously. Consider the event E three hea...

    Text Solution

    |

  20. Given three identical boxes I, II and III, each containing two coins. ...

    Text Solution

    |