# Where's the cheese?

Probability Level 4

Bernoulli places a mouse token at the point 0 on the real line and two cheese tokens at the points $3$ and $-3$. Bernoulli then begins flipping a coin repeatedly. Each time the coin is heads, he moves the mouse 1 to the right, and each time the coin is tails, he moves the mouse 1 to the left. Let $p$ be the probability that the mouse will eventually get a piece of cheese. Determine the value of $\lfloor 100p \rfloor$.

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