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Practice By Tag: The Principle of Inclusion and Exclusion

Question: 2015 Fall Final - 13
1 . Consider a uniformly random bitstring of length 5. Define the events
  • A = "the first three bits are 101 or 110",
  • B = "the last three bits 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.