# Ducklings in a Lake

2016 small ducklings are resting in a large circular lake; each duckling can be at any point in the lake with equal probability. What is the probability $$P$$ that a diameter can be drawn so that all 2016 ducklings are in the same half of the lake?

Because $$P$$ is small, evaluate and submit $$\log_2\dfrac{63}{P}$$ as your answer.

×