# Max has a spinner that lands on 1 with a probability of $frac{1}{2}$, lands on 2 with a probability of $frac{1}{4}$, lands on 3 with a probability of $frac{1}{6}$, and lands on 4 with a probability

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Max has a spinner that lands on 1 with a probability of $frac{1}{2}$, lands on 2 with a probability of $frac{1}{4}$, lands on 3 with a probability of $frac{1}{6}$, and lands on 4 with a probability of $frac{1}{12}$. If Max spins the spinner, and then Zack spins the spinner, then what is the probability that Max gets a larger number than Zack does?

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