Consider a coin flip game between Amar, Akbar and Anthony. A fair coin (so that heads and tails each have probability $0.5)$ is independently flipped five times. Amar wins if at least three consecutive draws of heads are observed in the five coin tosses. Akbar wins if at least three consecutive draws of tails are observed in the five coin tosses. Anthony wins if the other two do not win. What is the probability of Anthony winning?
- $9 / 16$
- $1 / 3$
- $1 / 2$
- $5 / 8$
- $7 / 12$