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A pair of fair dice is thrown indepen...

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is (1) 1/729                                                                   (2) 8/9 (3) 8/729                                                                   (4) 8/243

A

`8//9`

B

`7//29`

C

`8//243`

D

`1//729`

Text Solution

Verified by Experts

Possiblities of getting 9 are `(5,4),(4,5),(6,43),(3,6).`
`thereforep=(4)/(36)=1/9andq=1-1/9=8/9`
Therefore, the required probability is
`""^(3)C_(2)q^(1)p^(2)=(3)((8)/(9))((1)/(9))^(2)=(8)/(143)`
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Knowledge Check

  • A pair of unbaised die is thrown 3 times independently. The probability of getting the sum of number 9 two times is:

    A
    `5//243`
    B
    `7//243`
    C
    `8//243`
    D
    `10//243`

  • Two dice are thrown simultaneously. The probability of getting the sum 2 or 8 or 12 is

    A
    `(5)/(18)`
    B
    `(7)/(36)`
    C
    `(7)/(18)`
    D
    `(5)/(36)`