# Bijections Galore

Ram has 2018 coins.

The $$1^\text{st}$$ coin has a $$\frac{1}{2}$$ chance of flipping heads, the $$2^\text{nd}$$ coin has a $$\frac{1}{3}$$ chance of flipping heads, the $$3^\text{rd}$$ coin has a $$\frac{1}{5}$$ chance of flipping heads, continuing such that the $$k^\text{th}$$ coin has a $$\frac{1}{p(k)}$$ chance of flipping heads, where $$p(k)$$ is the $$k^\text{th}$$ prime number.

Ram flips each of his coins once.

What is the probability that Ram flips an even number of heads?

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