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There is a spinner with 88 equal areas, numbered 11 through 88. If the spinner is spun one time, what is the probability that the result is a multiple of 22 or a multiple of 33?

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Q. There is a spinner with 88 equal areas, numbered 11 through 88. If the spinner is spun one time, what is the probability that the result is a multiple of 22 or a multiple of 33?
  1. Identify Multiples of 22 and 33: Identify multiples of 22 and 33 among the numbers 11 through 88.\ Multiples of 22: 22, 44, 66, 88.\ Multiples of 33: 33, 66.
  2. Combine Multiples without Repeating: Combine the multiples without repeating any number.\newlineCombined numbers: 2,3,4,6,82, 3, 4, 6, 8.
  3. Count Favorable Outcomes: Count the favorable outcomes. There are 55 favorable outcomes (22, 33, 44, 66, 88).
  4. Calculate Total Possible Outcomes: Calculate the total possible outcomes. There are 88 possible outcomes (11 through 88).
  5. Calculate Probability: Calculate the probability.\newlineProbability = Number of favorable outcomes / Total possible outcomes = 58\frac{5}{8}.