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Question: 2018 Fall Final - 16

Author: Michiel Smid
You flip a fair coin three times; these three flips are independent. Define the events
  • A = "the number of heads in these three flips is even",
  • B = "the number of tails in these three flips is at most one".
(Remember that 0 is even.) Which of the following is correct?
(a)
None of the above.
(b)
The events $A$ and $B$ are not independent.
(c)
All of the above.
(d)
The events $A$ and $B$ are independent.