anonymous one year ago 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?

1. mathstudent55

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2. mathstudent55

If the first spin lands on 1, then the second spin has a 1/2 probability of landing on a larger number. If the first spin lands on 2, then the second spin has a 1/4 probability of landing on a larger number. If the first spin lands on 3, then the second spin has a 1/12 probability of landing on a larger number. If the first spin lands on 4, then the second spin has 0 probability of landing on a larger number.