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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)}`
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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

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