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2014 AMC 10B Problem 19

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2014 AMC 10B Problem 19AMC 10 Step by Step

Name: Date: September 13, 2026

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

Two concentric circles have radii $1$ and $2$ . Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?

A)
$\frac{1}{6}$
B)
$\frac{1}{4}$
C)
$\frac{2-\sqrt{2}}{2}$
D)
$\frac{1}{3}$
E)
$\frac{1}{2}$

2014 AMC 10B Problem 19

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