Home
Class 12
MATHS
Let Aa n dB be two events such that P(An...

Let `Aa n dB` be two events such that `P(AnnB^(prime))=0. 20 ,P(A^(prime)nnB)=0. 15 ,P(A^(prime)nnB^(prime))=0. 1 ,t h e nP(A//B)` is equal to

A

`P(A|B)=2//7`

B

`P(A|B)=2//7`

C

`P(AuuB)=0.55`

D

`P(A|B)=1//2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
We are given that
`P[(AnnB')=0.20,P(A'nnB)=0.15,P(AnnB)=0.10`
Now, `P(B)=P(A'nnB)+P(AnnB)=0.15+0.20=0.35`
`thereforeP(A//B)=(P(A'nnB))/(P(B))=(0.10)/(0.35)=2/7`
`P(A)=P(AnnB')+P(AnnB)=0.3`
`P(AuuB)=P(A)+P(B)-P(AnnB)=0.55`
`P(B//A)=(P(BnnA))/(P(A))=1/3`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise LINKED COMPREHENSION TYPE|43 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MATRIX MATCH TYPE|10 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise EXERCISE|68 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

  • PROGRESSION AND SERIES

    CENGAGE PUBLICATION|Exercise ARCHIVES (NUMERICAL VALUE TYPE )|8 Videos

Similar Questions

Explore conceptually related problems

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

If A and B are two events such that P(A)=0.3 , P(B)=0.25 , P(AnnB)=0.2 , then P(((A^(C ))/(B^(C )))^(C )) is equal to

If A and B are two events such that P(AnnB)=0.3 and P(A'nnB')=0.6 , then the value of P(A)+P(B) is equal to

If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP(AnnB^c)=0. 5 , then find the value of P[B//(AuuB^c)]dot

If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1//5, then

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) .

If two events Aa n dB are such that P(A)=0. 3 ; P(B)=0. 4 ; P( barA nn barB )=0. 5 , then find the value of P(B//AuuB) .

If Aa n dB are two events such that P(A)=1/2a n dP(B)=2/3 . Then show that P(A U B) ge 2/3 .

Let A and B be two events such that P(A) = 0.3 and P(A cup B) = 0.8 . If A and B are independent events then P(B) = ?

Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(C))=0.5 then P(B|A uuB^(C)) is equal to

CENGAGE PUBLICATION-PROBABILITY II-MULTIPLE CHOICE ANSWER TYPE
  1. If A and B are two independent events such that P (A) =1//2, P(B)=1//5...

    Text Solution

    |

  2. Let Aa n dB be two events such that P(AnnB^(prime))=0. 20 ,P(A^(prime)...

    Text Solution

    |

  3. The probability that a married man watches certain TV show is 0.4 and ...

    Text Solution

    |

  4. A and B are two events defined as follows: A:It rains today withP(A)...

    Text Solution

    |

  5. Two whole numbers are randomly selected and multiplied. Consider two e...

    Text Solution

    |

  6. The probability that a 50-years-old man will be alive at 60 is 0.83 an...

    Text Solution

    |

  7. Which of the following statement is/are correct?

    Text Solution

    |

  8. A bag initially contains 1 red and 2 blue balls. An experiment consi...

    Text Solution

    |

  9. P(A)=3//8; P(B)=1//2; P(AuuB)=5//8 , which of the following do/does ho...

    Text Solution

    |

  10. In a precision bombing attack, there is a 50% chance that any one bomb...

    Text Solution

    |

  11. If A and B are two events, then which one of the following is/are alwa...

    Text Solution

    |

  12. If Aa n dB are two independent events such that P(A)=1//2 a n d P(B)=1...

    Text Solution

    |

  13. If A and B are two independent events such that P( barA nnB)=2//15 and...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. A fair coin is tossed 99 times. Let X be the number of times head occu...

    Text Solution

    |

  16. If the probability of choosing an integer "k" out of 2 m integers 1,2,...

    Text Solution

    |

  17. A lot contains 50 defective and 50 non-defective bulbs. Two bulbs are ...

    Text Solution

    |