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Question: 2016 Fall Final - 15

Author: Michiel Smid
We flip a fair coin three times; these flips are independent of each other. These three coin flips give us a sequence of length three, where each symbol is $H$ or $T$. Define the events
  • A = "the sequence contains at most one $T$",
  • B = "the symbols in the sequence are not all equal".
Which of the following is true?
(a)
None of the above.
(b)
The events $A$ and $B$ are independent.
(c)
The events $A$ and $B$ are not independent.