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Three digit numbers are formed using the...

Three digit numbers are formed using the digits `Q, 2, 4, 6, 8. A` number is chosen at random out of these numbers what is the probability that this number has the same digits?

A

`1//16`

B

`1//25`

C

`16//25`

D

`1//645`

Text Solution

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The correct Answer is:
B

Given digits are 0, 2, 4, 6, 8.
Total number of cases `= 4 xx 4 xx 4`
(`because` We have 4 choices for each number)
`therefore` Required probability `= 4/64 = 1/16`
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