QQuestionMathematics
QuestionMathematics
A whole number from 1 to 15 inclusive is picked at random.
E = Whole numbers from 1 to 15 inclusive
M = Multiples of 3
F = Factors of 24
a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?
b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?
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Answer
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Step 1Let's solve this step by step using set theory and probability.
Step 2: Identify the sets
- F = Factors of 24: $$\{1, 2, 3, 4, 6, 8, 12, 24\}
- Total elements in E: |E| = 15
Final Answer
a) \frac{3}{8} b) \frac{3}{5}
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