Home
Class 11
MATHS
Let a sample space be : S={omega(1),omeg...

Let a sample space be : `S={omega_(1),omega_(2),.........,omega_(n)}`. Which of the following assignments of probabilities to each outcome are valid ?

A

`P(omega_1)=1/2, P(omega_2)=1/3, P(omega_3)=2/3`

B

`P(omega_1)=1/3, P(omega_2)=1/3, P(omega_3)=1/4`

C

`P(omega_1)=1/2, P(omega_2)=1/3, P(omega_3)=-1/6`

D

`P(omega_1)=1/2, P(omega_2)=1/3, P(omega_3)=1/6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise EXERCISE|319 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

Similar Questions

Explore conceptually related problems

With 1,omega,omega^(2) as cube roots of unity, inverse of which of the following matrices exists?

Let {E_(1), E_(2), ..., E_(n),} be a partition of the sample space S, and suppose that each of the events E_(1), E_(2)...., E_(n) , has non-zero probability of occurrence. Let A be any event associated with S, then P(A) = P(E_(1)) P(A|E_(1))+ P(E_(2)) P(A|E_(2)) +...+P(E_(n)) P(A|E_(n))

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table : Find the probability of getting each outcome.

Compare this power used in the 2omega resistor in each of the following circuits:- a 6V battery in series with 1 omega and 2 omega resistors, and

If 1,omega,omega^(2),...omega^(n-1) are n, nth roots of unity, find the value of (9-omega)(9-omega^(2))...(9-omega^(n-1)).

Which of the following can not valid assignments for outcomes of sample space, S={omega_(1), omega_(2), omega_(3), omega_(4), omega_(5), omega_(6), omega_(7)}

Compare this power used in the 2omega resistor in each of the following circuits: - 4V battery in parallelwith 12 omega and 2 omega resistors?

Value of |{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega):}| is zero, where omega,omega^(2) are imaginary cube roots of unity.

MODERN PUBLICATION-PROBABILITY -EXERCISE
  1. Let a sample space be : S={omega(1),omega(2),.........,omega(n)}. Whic...

    Text Solution

    |

  2. Write the sample space of the following Random experiment : A coin i...

    Text Solution

    |

  3. Describe the sample space for the indicated experiment, A coin is ...

    Text Solution

    |

  4. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  5. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  6. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  7. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  8. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  9. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  10. Describe the sample space for the indicated experiment in the followin...

    Text Solution

    |

  11. 2 boys and 2 girls are in room X, and 1 boy and 3 girls in room Y. Spe...

    Text Solution

    |

  12. A box contains 1 red and 3 identical white balls. Two balls are drawn ...

    Text Solution

    |

  13. An experiment consists of tossing a coin and then throwing it second t...

    Text Solution

    |

  14. A coin is tossed. If it shows a head, we draw a ball from a bag consis...

    Text Solution

    |

  15. One die of red colour, one white and one of blue are placed in a bag. ...

    Text Solution

    |

  16. An experiment consists of rolling a die and then tossing a coin once, ...

    Text Solution

    |

  17. Suppose 3 bulbs are selected at random from a lot. Each bulb is tested...

    Text Solution

    |

  18. A coin is tossed. If the outcome is a head, a die is thrown. If the di...

    Text Solution

    |

  19. A coin is tossed. If it shows tail, we draw a ball from a box which co...

    Text Solution

    |

  20. Find the sample space associated with the experiment of rolling a pair...

    Text Solution

    |

  21. A coin is tossed once. Write its sample space. Find the total number o...

    Text Solution

    |