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A fair die is tossed repeatedly until a ...

A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired.
The probability that `X=3` equals

A

`25//216`

B

`25//36`

C

`5//36`

D

`125//216`

Text Solution

Verified by Experts

The correct Answer is:
A
`P(X=3)=((5)/(6))((5)/(6))1/6=25/216`
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Knowledge Check

  • A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. Q. The probability that X=3 equals

    A
    `(25)/(216)`
    B
    `(25)/(36)`
    C
    `(5)/(36)`
    D
    `(125)/(216)`

  • A fair die is tossed repeated until a six is obtained. Let X denote the number of tosses required. The probability that X ge 3 is

    A
    `(125)/(216)`
    B
    `(25)/(36)`
    C
    `(5)/(36)`
    D
    `(25)/(216)`

  • A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired. The conditional probability that Xge6 given Xgt3 equals

    A
    `125//216`
    B
    `25//36`
    C
    `5//36`
    D
    `25//216`

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