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Let a computer program generate only the...

Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be `(1)/(2)` and probability of occurrence of 0 at the odd place be `(1)/(3)`. Then the probability that '10' is followed by '01' is equal to :

A

`(1)/(18)`

B

`(1)/(3)`

C

`(1)/(9)`

D

`(1)/(6)`

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