A game consists of spinning an arrow around a stationary disk as shown below.…

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A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest in any one of the sectors numbered 1, 2, 3, 4, 5, 6, 7 or 8 as shown.

Two such disks are used in a game where their arrows are independently spun.

What is the probability that the sum of the numbers on the resulting sectors upon spinning the two disks is equal to 8 after the arrows come to rest?

Two circular disks side by side, each divided into eight equal sectors by vertical, horizontal and diagonal radii. In each disk the sectors read 1, 2, 3, 4, 5, 6, 7, 8 clockwise starting just right of the upward vertical radius. Each has an arrow pivoting at its center and pointing upward-right into sector 1.
  1. A.

    \(\frac{1}{16}\)

  2. B.

    \(\frac{5}{64}\)

  3. C.

    \(\frac{3}{32}\)

  4. D.

    \(\frac{7}{64}\)

Attempted by 2 students.

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Correct answer: D

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