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Two dice are rolled simultaneously. Find...

Two dice are rolled simultaneously. Find number of outcomes in: Event A: The sum of the digits on the upper faces is a multiple of 6. Event B: The same digit on both the upper faces.

Text Solution

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Two dice are rolled simultaneously.
`therefore` the smape space
`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)}`
`thereforen(S)=36.`
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Knowledge Check

  • Two dice are rolled simultaneously . Find the probability of getting the sum of numbers on the faces divisible by 3 or 4.

    A
    `4/9`
    B
    `1/7`
    C
    `5/9`
    D
    `7/(12)`