Probabilities on a spinner

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Homework Help Overview

The discussion revolves around a probability question related to a spinner, specifically examining the claim made by Bob regarding the likelihood of the number 3 appearing. Participants are trying to clarify the meaning of "less than even chance" in the context of the problem.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the interpretation of "less than even chance," questioning whether it refers to a probability of less than 50% or less than 1/3 based on the number of outcomes on the spinner.

Discussion Status

Some participants have provided interpretations of the phrase "less than even," suggesting that it generally means less than 50%. There is ongoing exploration of the definitions and implications of the terms used in the problem.

Contextual Notes

The original poster notes the lack of a mark scheme and expresses uncertainty regarding the correct interpretation of the problem's wording.

TensorCalculus
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Homework Statement
Bob says "3 has less than an even chance of coming up"
<diagram of spinner, attached below>
Is he right? Explain your answer.
Relevant Equations
N/A
My little sister was doing a practice maths paper (preparing for entrance exams into secondary schools) and she came across this question, which she got stuck on. As the one who marks her papers she asked me if I could help her: but the wording of this problem stumped me too. I don't have a mark scheme (though maybe one does exist), so I don't know what the correct answer is.

The problem goes as such:

Bob says "3 has less than an even chance of coming up"
(photo of spinner attached)
Is he right? Explain your answer.

What does the question mean by "less than even"? Does it mean less than 50%, or less than 1/3 (since there are three numbers on the wheel)?
 

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I think "less than 50%" would be the general interpretation of "less than even".
 
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TensorCalculus said:
What does the question mean by "less than even"? Does it mean less than 50%, or less than 1/3 (since there are three numbers on the wheel)?
Less than 50%. A toss of a fair coin has a 50% chance of a heads or a tails coming up.
 
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Ah okay, thank you! :smile:
 

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