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Australian AMC 2022 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2022 - Intermediate

Question 17

This spinner is spun twice to form a two-digit number using the following rules:
- The first value spun forms the tens digit.
- If the second value rolled is larger than the first, it becomes the units digit.
- If the second value spun is not larger than the first, the tens digit is repeated as the units digit.
What is the probability that the resulting two-digit number is divisible by 11?

Question illustration
  1. $\frac14$
  2. $\frac38$
  3. $\frac12$
  4. $\frac58$
  5. $\frac9{16}$