Math Problem Statement
Solution
Problem:
We are tasked with finding the probability of obtaining an even multiple of 3 when randomly selecting one token from a bag of 12 tokens, numbered from 1 to 12.
Step 1: Identify the even multiples of 3 between 1 and 12.
- Multiples of 3: .
- Even multiples of 3: .
Thus, the even multiples of 3 are and .
Step 2: Calculate the probability.
- Total tokens = .
- Favorable outcomes (even multiples of 3) = .
The probability is calculated as:
Final Answer:
The probability of obtaining an even multiple of 3 is (Answer D).
Do you have any questions, or would you like a detailed explanation of a specific step?
Here are 5 related questions to expand your understanding:
- How can we determine all multiples of a specific number within a given range?
- How do we generalize the concept of probability to other scenarios?
- What is the probability of selecting an odd multiple of 3 from the same set?
- Can we extend this method to non-consecutive numbering, such as tokens labeled with random numbers?
- How would the answer change if there were 24 tokens numbered 1 to 24?
Tip: Always list all possible outcomes carefully to ensure you count the favorable outcomes accurately in probability problems.
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Math Problem Analysis
Mathematical Concepts
Probability
Multiples
Divisibility
Formulas
P = Favorable outcomes / Total outcomes
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8
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