Home
Class 12
MATHS
Compute P(A|B). if P(B) = 0. 5and P(AnnB...

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

Text Solution

AI Generated Solution

To compute \( P(A|B) \), we will use the formula for conditional probability: \[ P(A|B) = \frac{P(A \cap B)}{P(B)} \] ### Step-by-Step Solution: ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • PROBABILITY

    NCERT|Exercise EXERCISE 13.5|15 Videos
  • PROBABILITY

    NCERT|Exercise Solved Examples|36 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

Compute P(A//B),\ if\ P(B)=0. 5\ a n d\ P(AnnB)=0. 32 .

Compute P((A)/(B)), if P(B)=0.5 and P(A nn B)=0.32

Find P(A/B) , is P (B) =0.5 and P (A cap B) =0.32

A and B are two events such that P(A)= 0.8, P(B) = 0.6 and P (Ann B) = 0.5, then the value of P(A/B) is

if A and B are events such that P(A)=0. 6 ,\ P(B)=0. 3\ a n d\ P(AnnB)=0. 2 ,\ fin d\ P(A//B)a n d\ P(B//A)dot

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(B//AuuB') is

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 two events A and B are such that P(A^c)=0. 3. P(B^c)=0. 4 a n d P(AnnB^c)=0. 5 , t h e n P(B/AuuB^c)= (a) 0. 9 (b). 0. 5 (c). 0. 6 (d). 0. 25

If A and B are events such that P(A uu B) = 0.5, P(barB) = 0.8 and P(A//B) = 0.4 , then what is P(A nn B) equal to ?

If A and B are two events such that P(A) = 0.5, P(B) = 0.6 and P(A uu B) = 0.8. Find P(A/B) .

NCERT-PROBABILITY-EXERCISE 13.1
  1. Consider the experiment of throwing a die. if a multiple of 3 comes t...

    Text Solution

    |

  2. Given that the two numbers appearing on throwing two dice are differe...

    Text Solution

    |

  3. In each of the Exercises choose the correct answer. If A and B are ev...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. A black and a red dice are rolled.(a)   Find the conditional probabil...

    Text Solution

    |

  7. An instructor has a question bank consisting of 300 easy True / False...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Determine P (E|F)in :A coin is tossed three times, where (i) E : Head...

    Text Solution

    |

  17. Determine P (E|F)in :Two coins are tossed once, where(i) E: tail appe...

    Text Solution

    |