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Question: 2015 Winter Final - 18

Author: Michiel Smid
Consider a uniformly random bitstring of length 5. Define the events
  • A = "the bitstring contains an odd number of 0s"
and
  • B = "the first three bits in the bitstring are 111".
Which of the following is true?
(a)
The events $A$ and $B$ are independent.
(b)
The events $A$ and $B$ are not independent.
(c)
None of the above.