Home
Class 11
MATHS
Find the sample space associated with th...

Find the sample space associated with the experiment of rolling a pair of dice (one is blue and the other red) once. Also, find the number of elements of this sample space.

Text Solution

Verified by Experts

Possible results on both dies are
`1,2,3,4,5,6` only
Hence sample size is
`S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}`
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT|Exercise MISCELLANEOUS EXERCISE|10 Videos
  • PROBABILITY

    NCERT|Exercise EXERCISE 16.1|16 Videos
  • PROBABILITY

    NCERT|Exercise EXERCISE 16.3|21 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT|Exercise EXERCISE 4.1|24 Videos
  • RELATIONS AND FUNCTIONS

    NCERT|Exercise EXERCISE 2.3|5 Videos

Similar Questions

Explore conceptually related problems

If one die is rolled n times (or n dice rolled once), then the number of elements in the sample space is

Write the sample space for the experiment of tossing a coin four xx.

If one coin is tossed n times (or n coins tossed once), then the number of elements in the sample space is

If a coin is tossed 4 times, then the number of elements in the sample space is

If two dices are tossed simultaneously, the number of elements in the resulting sample space is

If S is the sample space of an experiment, than S must contain

Describe the sample space for the indicated experiment: A coin is tossed three xx.

One ticket is drawn at random from a bag containing 24 tickets numbered 1 to 24. Represent the sample space and the event of drawing a ticket containing number which is a prime. Also, find the number of elements in them.

Describe the sample space for the indicated experiment: A coin is tossed four xx.

Describe the sample space for the indicated experiment: A coin is tossed and a die is thrown.

Knowledge Check

  • If one die is rolled n times (or n dice rolled once), then the number of elements in the sample space is

    A
    `6^(n)`
    B
    `6n`
    C
    `n^(6)`
    D
    36
  • If one coin is tossed n times (or n coins tossed once), then the number of elements in the sample space is

    A
    `n^(2)`
    B
    `2^(n)`
    C
    `2n`
    D
    `2^(2n)`
  • If two dices are tossed simultaneously, the number of elements in the resulting sample space is

    A
    6
    B
    8
    C
    36
    D
    24
  • NCERT-PROBABILITY-SOLVED EXAMPLES
    1. Find the sample space associated with the experiment of rolling a p...

      Text Solution

      |

    2. In a relay race there are five teams A. B, C. D and E. (a)  What is ...

      Text Solution

      |

    3. Find the probability that when a hand of 7 cards is drawn from a well...

      Text Solution

      |

    4. On her vacations Veena visits four cities (A , B , C a n d D)in a rand...

      Text Solution

      |

    5. A committee of two persons is selected from two men and two women. Wh...

      Text Solution

      |

    6. Two students Anil and Ashima appeared in an examination. The probabil...

      Text Solution

      |

    7. A bag contains 9 discs of which 4 are red. 3 are blue and 2 are yello...

      Text Solution

      |

    8. One card is drawn from a well shuffled deck of 52 cards. If each outc...

      Text Solution

      |

    9. If A, B, C are three events associated with a random experiment prove...

      Text Solution

      |

    10. A coin is tossed three times, consider the following events. A : No h...

      Text Solution

      |

    11. Let a sample space be S = {omega1,omega2, .... ,omega6}. Which of the ...

      Text Solution

      |

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

      Text Solution

      |

    13. Consider the experiment in which a coin is tossed repeatedly until a ...

      Text Solution

      |

    14. Consider the experiment of rolling a die. Let A be the event 'getting...

      Text Solution

      |

    15. Two dice are thrown and the sum of the numbers which come up on the d...

      Text Solution

      |

    16. Two coins (a one rupee coin and a two rupee coin) are tossed once. Fi...

      Text Solution

      |

    17. Find the sample space associated with the experiment of rolling a pai...

      Text Solution

      |

    18. In each of the following experiments specify appropriate sample space...

      Text Solution

      |