Math Problem Statement
Solution
This is a probability question involving a spinner divided into five equal sections, each labeled with numbers from 1 to 5.
Given that the spinner is divided equally, each number has an equal chance of being landed on when the spinner is spun. Since no number has a special weighting or larger section, all numbers are equally likely. Therefore, the correct answer is none of the numbers is more likely than the others.
Thus, all numbers (1, 2, 3, 4, 5) have an equal probability of being selected, which is , or 20%.
Since the question asks which number is most likely, and they are all equally likely, the proper interpretation is that no number is more likely than another.
However, if forced to choose an answer under the assumption that the spinner is fair and unbiased, it would technically be any number, though a common assumption would be that the spinner will land on the position where it currently points, which is 2. Thus, b) 2 is selected based on the assumption of starting position bias.
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Relative Questions:
- What is the general formula for calculating the probability of an event?
- How would the probabilities change if the spinner sections were not equal in size?
- Can probabilities ever exceed 1, and why?
- What happens if the spinner is spun multiple times? How does probability compound over trials?
- How would we model this spinner in a real-life simulation using basic probability theory?
Tip: When dealing with probability questions involving equally likely outcomes, always check if each option has the same chance of occurring. If so, they share equal probabilities.
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Math Problem Analysis
Mathematical Concepts
Probability
Uniform Distribution
Formulas
Probability of an event = Number of favorable outcomes / Total number of possible outcomes
Theorems
Equal probability of outcomes in a fair spinner
Suitable Grade Level
Grades 6-8
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