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2020 AMC 10A Problem 16

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2020 AMC 10A Problem 16AMC 10 Step by Step

Name: Date: September 13, 2026

Geometric Probability · difficulty 3 of 5 · about 4 min · position P16-20

A point is chosen at random within the square in the coordinate plane whose vertices are $(0, 0), (2020, 0), (2020, 2020),$ and $(0, 2020)$ . The probability that the point is within $d$ units of a lattice point is $\tfrac{1}{2}$ . (A point $(x, y)$ is a lattice point if $x$ and $y$ are both integers.) What is $d$ to the nearest tenth?

A)
$0.3$
B)
$0.4$
C)
$0.5$
D)
$0.6$
E)
$0.7$

2020 AMC 10A Problem 16

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