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MATH / Max has a spinner that lands on 1 with a probability of (1)/(2), lands on 2 with a probability of (1)/(4), lands on 3 with a probability of (1)/(6), and lands on 4 with a probabili…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Max has a spinner that lands on 1 with a probability of 12\frac{1}{2}, lands on 2 with a probability of 14\frac{1}{4}, lands on 3 with a probability of 16\frac{1}{6}, and lands on 4 with a probability of 112\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?
Plain-text mathematical notation (without MathML)
Max has a spinner that lands on 1 with a probability of (1)/(2), lands on 2 with a probability of (1)/(4), lands on 3 with a probability of (1)/(6), and lands on 4 with a probability of (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?
Original LaTeX notation
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?

level

Level 5

type

Counting & Probability

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Source and history

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