Home
Class 12
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

`[0,1]`

B

`[0,(1)/(2)]`

C

`[(1)/(3),1]`

D

`[(1)/(3),(1)/(2)]`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|13 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Example|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 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 ).

ARIHANT MATHS ENGLISH-PROBABILITY-Exercise For Session 1
  1. A problem in mathematics is given to three students A ,B ,C and their ...

    Text Solution

    |

  2. A dice is thrown three times and the sum of the thrown numbers in 15. ...

    Text Solution

    |

  3. Three faces of a fair die are yellow, two faces red and one blue. The ...

    Text Solution

    |

  4. A speaks truth in 75% and B in 80% of the cases. In what percentage of...

    Text Solution

    |

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

    Text Solution

    |

  6. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |

  7. Seven white balls and three black b alls are randomly placed in a row....

    Text Solution

    |

  8. Two numbers are selected randomly from the set S={1,2,3,4,5,6} without...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If the letters of the word ASSASSIN are written down in a row, the pro...

    Text Solution

    |

  12. A box contains 2 balck, 4 white, and 3 balls. One ball is drawn at ran...

    Text Solution

    |

  13. If three distinct number are chosen randomly from the first 100 natura...

    Text Solution

    |

  14. There are 2 vans each having numbered seats, 3 in the front and 4 at t...

    Text Solution

    |

  15. A and B stand in a ring with 10 other persons . If the arrangement of ...

    Text Solution

    |

  16. The first twelve letters of the alphabet are written down at random ....

    Text Solution

    |

  17. If 6 boys and 6 grils sit in a row at random, then the probability tha...

    Text Solution

    |

  18. If from each of the three boxes containing 3 whiter and 1 black, 2 ...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. if letters of the word MATHEMATICS are arranged then the probability t...

    Text Solution

    |