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Omni-MATH / We have two concentric circles C₁ and C₂ with radii 1 and 2, respectively. A random chord of C₂ is chosen. What is the probability that it intersects C₁?

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problem

We have two concentric circles C1C_{1} and C2C_{2} with radii 1 and 2, respectively. A random chord of C2C_{2} is chosen. What is the probability that it intersects C1C_{1}?
Plain-text mathematical notation (without MathML)
We have two concentric circles C₁ and C₂ with radii 1 and 2, respectively. A random chord of C₂ is chosen. What is the probability that it intersects C₁?
Original LaTeX notation
We have two concentric circles $C_{1}$ and $C_{2}$ with radii 1 and 2, respectively. A random chord of $C_{2}$ is chosen. What is the probability that it intersects $C_{1}$?

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