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?

Question

mathstudent55 · Answer

|dw:1443969956092:dw|

mathstudent55 · Answer

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.