# Science:Math Exam Resources/Courses/MATH152/April 2017/Question B 05 (b)

MATH152 April 2017
Easiness: 88/100
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### Question B 05 (b)

Suppose four towns are connected by roads in the configuration shown below. A random driver wakes up every morning and flips a coin. If the coin is heads, she stays where she is for the day. If the coin is tails, she drives to the next town, choosing one of the roads with no preference. (For example, if she leaves Town A, she is equally likely to go to Town B or Town C, but she will not go to Town D that day.)

(b) If the driver starts in Town A, what is the probability she will be in Town A two days later?

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