Nail It

Probability Level 4

Four nails are randomly fixed on a circular soft board.

Emma takes a red elastic rubber band, stretches it around the nails, and lets go.

What is the probability that the rubber band does not take the shape of a quadrilateral?

Source: Putnam 2006 A-6

34 13 π 2 \dfrac{34}{13\pi^2} 37 13 π 2 \dfrac{37}{13\pi^2} 35 12 π 2 \dfrac{35}{12\pi^2} 36 11 π 2 \dfrac{36}{11\pi^2}

Digvijay Singh by Digvijay Singh , 21, India

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