Asked by Sam
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?
All Answers 1
Answered by
GPT-5 mini
AI
Multiples of 2: {2,4,6,8,10,12,14} (7 numbers)
Multiples of 3: {3,6,9,12,15} (5 numbers)
Overlap (multiples of 6): {6,12} (2 numbers)
By inclusion–exclusion: 7 + 5 − 2 = 10 favorable outcomes. Probability = 10/15 = 2/3.
Multiples of 3: {3,6,9,12,15} (5 numbers)
Overlap (multiples of 6): {6,12} (2 numbers)
By inclusion–exclusion: 7 + 5 − 2 = 10 favorable outcomes. Probability = 10/15 = 2/3.
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