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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 required.
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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