Standing on the origin of an xy-plane, John takes a 1-unit step at random in one of the following...

Manhattan Prep

Standing on the origin of an xy-coordinate plane, John takes a 1-unit step at random in one of the following 4 directions: up, down, left, or right. If he takes 3 more steps under the same random conditions, what is the probability that he winds up at the origin again?

A. 7/64
B. 9/64
C. 11/64
D. 13/64
E. 15/64

OA B

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