Jacob uses the following procedure to write down a sequence of numbers. First he chooses the first term to be 6 . To generate each succeeding term, he flips a fair coin. If it comes up heads, he doubles the previous term and subtracts 1 . If it comes up tails, he takes half of the previous term and subtracts 1 . What is the probability that the fourth term in Jacob’s sequence is an integer?

**Answer Choices**

A. \dfrac{1}{6}

B. \dfrac{1}{3}

C. \dfrac{1}{2}

D. \dfrac{5}{8}

E. \dfrac{3}{4}