Probabilities on a spinner

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SUMMARY

The discussion centers on the interpretation of the phrase "less than an even chance" in the context of a probability question involving a spinner with three numbers. Participants agree that "less than even" refers to a probability of less than 50%, rather than less than 1/3. The consensus is that Bob's statement about the probability of landing on 3 is indeed correct, as it implies a probability lower than 50% for that outcome.

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  • Knowledge of how to interpret probability questions
  • Basic mathematical skills for calculating probabilities
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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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