Home
Class 11
MATHS
If (1 + 3p)/(3), (1 - p)/(4) and (1 - 2p...

If `(1 + 3p)/(3), (1 - p)/(4)` and `(1 - 2p)/(2)` are the probabilities of three mutually exclusive events, then find the set of all values of p.

A

`(1)/(3) le p le (1)/(2)`

B

`(1)/(2) le p le (2)/(3)`

C

`(1)/(6) le p le (1)/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|22 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section- II (Assertion -Reason Types MCQs)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

Similar Questions

Explore conceptually related problems

If (1+3p)/3,(1-p)/1,(1-2p)/2 are the probabilities of 3 mutually exclusive events then find the set of all values of p.

If ((1-3p))/2,((1+4p))/3,((1+p))/6 are the probabilities of three mutually excusing and exhaustive events, then the set of all values of p is a. (0,1) b. (-1/4,1/3) c. (0,1/3) d.

Statement-1 : If (1)/(5)(1+5p),(1)/(3)(1+2p),(1)/(3)(1-p) " and " (1)/(5)(1-3p) are probabilities of four mutually exclusive events, then p can take infinite number of values. Statement-2 : If A, B, C and D are four mutually exclusive events, then P(A), P(B), P(C ), P(D) ge 0 and P(A)+P(B)+P(C )+P(D) le 1

The probabilities of three mutually exclusive events are 2/3, 1/4, and 1/6. Is this statement correct?

Discuss and critise the following : P(A)=(2)/(3),P(B)=(1)/(4),P(C )=(1)/(3) are the probilities of three mutually exclusive events A,B and C.

If the events A and B are mutually exclusive, then P( A/B) =

If A and B are mutually exclusive events with P(B) ne 1, " then " P(A//overline(B)) =

For two mutually exclusive events A and B , P(A)=1/3 and P(B)=1/4, find (AuuB) .

Give P(A) =3/5 and P(B) =1/5dot Find P(A or B) , if A and B are mutually exclusive events.

A and B are two non-mutually exclusive events. If P(A)=1/4, P(B)=2/5 and P(AuuB)=1/2 , find the value of P(AnnB ).

OBJECTIVE RD SHARMA ENGLISH-PROBABILITY -Section I - Mcqs
  1. A student appears for tests I, II and III. The student is considered s...

    Text Solution

    |

  2. A cricket club has 15 members, of them of whom only 5 can bowl. If the...

    Text Solution

    |

  3. If (1 + 3p)/(3), (1 - p)/(4) and (1 - 2p)/(2) are the probabilities of...

    Text Solution

    |

  4. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  5. Three numbers are chosen from 1 to 30. The probability that they are n...

    Text Solution

    |

  6. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |

  7. If two A and B such that P(A) gt 0 and P(B) ne 1, then P(barA//barB) ...

    Text Solution

    |

  8. A speks truth in 60% cases and B speaks truth in 70% cases. The probab...

    Text Solution

    |

  9. Let X be a set containing n elements. Two subsets A and B of X are cho...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. If P(AnnB)=1/2,P( A nn B )=1/3, P(A)=p , P(B)=2p , then find the v...

    Text Solution

    |

  12. If P(A cup B)=3//4 " and " P(overline(A))=2//3, " then " P(overline(A)...

    Text Solution

    |

  13. Find the probability that in a random arrangement of the letters of th...

    Text Solution

    |

  14. A letter is taken out at random from 'ASSISTANT and another is taken o...

    Text Solution

    |

  15. Out of 40 consecutive integers, two are chosen at random, the probabil...

    Text Solution

    |

  16. Three integers are chosen at random from the first 20 integers. The ...

    Text Solution

    |

  17. three identical dice are rolled . Find the probability that the same n...

    Text Solution

    |

  18. Let A, B, C be three events such that A and B are independent and P(C)...

    Text Solution

    |

  19. Two small squares on a chess board are chosen at random. Then, the pro...

    Text Solution

    |

  20. An ordinary cube has four black faces, one face marked 2 and another m...

    Text Solution

    |