Question: 2016 Fall Final - 14
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 (recall that
0 is even):
- A = "the number of $H$ in the sequence is even",
- B = "the sequence contains at least two consecutive $H$'s".
(a)
The events $A$ and $B$ are independent.
(b)
None of the above.
(c)
The events $A$ and $B$ are not independent.