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2007 AMC 10B Question 19

AMC10 · 2007 AMC 10B

Question 19

The wheel shown is spun twice, and the randomly determined numbers opposite the pointer are recorded. The first number is divided by $4,$ and the second number is divided by $5.$ The first remainder designates a column, and the second remainder designates a row on the checkerboard shown. What is the probability that the pair of numbers designates a shaded square?

Question illustration
  1. $\dfrac{1}{3}$
  2. $\dfrac{4}{9}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{5}{9}$
  5. $\dfrac{2}{3}$