jee-main 2021 Q80

jee-main · India · session2_17mar_shift2 Not Maths

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 $\frac { 1 } { 2 }$ and probability of occurrence of 0 at the odd place be $\frac { 1 } { 3 }$. Then the probability that 10 is followed by 01 is equal to:
(1) $\frac { 1 } { 18 }$
(2) $\frac { 1 } { 3 }$
(3) $\frac { 1 } { 6 }$
(4) $\frac { 1 } { 9 }$

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 $\frac { 1 } { 2 }$ and probability of occurrence of 0 at the odd place be $\frac { 1 } { 3 }$. Then the probability that 10 is followed by 01 is equal to:\\
(1) $\frac { 1 } { 18 }$\\
(2) $\frac { 1 } { 3 }$\\
(3) $\frac { 1 } { 6 }$\\
(4) $\frac { 1 } { 9 }$

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