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Probability question

2021 · 17 Mar · Shift 2 · Q22
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  5. /2021 · 17 Mar · Shift 2 · Q22

Probability question

2021 · 17 Mar · Shift 2 · Q22

JEE MainMathematicsProbabilityMCQ+4 / −1
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 12{1 \over 2}21​ and probability of occurrence of 0 at the odd place be 13{1 \over 3}31​. Then the probability that '10' is followed by '01' is equal to :
  1. A
    118{1 \over 18}181​
  2. B
    13{1 \over 3}31​
  3. C
    19{1 \over 9}91​
  4. D
    16{1 \over 6}61​
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