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2020 AMC 10A Problem 13

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2020 AMC 10A Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Conditional Probability & States · difficulty 3 of 5 · about 6 min · position P11-15

A frog sitting at the point $(1, 2)$ begins a sequence of jumps, where each jump is parallel to one of the coordinate axes and has length $1$ , and the direction of each jump (up, down, right, or left) is chosen independently at random. The sequence ends when the frog reaches a side of the square with vertices $(0,0), (0,4), (4,4),$ and $(4,0)$ . What is the probability that the sequence of jumps ends on a vertical side of the square?

A)
$\frac12$
B)
$\frac 58$
C)
$\frac 23$
D)
$\frac34$
E)
$\frac 78$

2020 AMC 10A Problem 13

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