In this game, two spinners are spun. If the spinners show the same number, the outcome isfavorable. If the spinners show different numbers, the outcome is unfavorable.A. What are the possible outcomes of spinning these two spinners? List outcomes aspairs. For example, (1, 1) is a “1” on each spinner.
Question
In this game, two spinners are spun. If the spinners show the same number, the outcome isfavorable. If the spinners show different numbers, the outcome is unfavorable.A. What are the possible outcomes of spinning these two spinners? List outcomes aspairs. For example, (1, 1) is a “1” on each spinner.
Solution
The possible outcomes of spinning these two spinners depend on the number of sides each spinner has. Assuming each spinner has 6 sides (like a standard die), the possible outcomes would be:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Each pair represents the result of the spin for the first and second spinner respectively. For example, (3, 5) means the first spinner landed on 3 and the second spinner landed on 5.
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