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AMC10 2027 - Self-practice Set 4 Question 7

AMC10 · AMC10 2027 - Self-practice Set 4

Question 7

A frog starts at $(1,2)$. On each jump it independently chooses up, down, left, or right with equal probability and moves one unit. It stops on reaching a side of the square with vertices $(0,0),(0,4),(4,4),(4,0)$. What is the probability of stopping on a vertical side?
  1. $\frac12$
  2. $\frac58$
  3. $\frac23$
  4. $\frac34$
  5. $\frac78$