Probability question: picking colored marbles out of a bag

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Homework Help Overview

The discussion revolves around a probability question involving colored marbles in a bag, specifically determining the probability of picking a blue marble from a set of 5 marbles, where 4 are blue and 1 is red.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the correct expression of probability, debating between fractional and percentage representations. Some question the appropriateness of expressing the probability as 80% instead of a decimal or fraction.

Discussion Status

The conversation includes multiple viewpoints on the representation of probability, with some participants emphasizing the importance of precision in mathematical communication. There is no clear consensus, but the original poster's understanding of the problem is acknowledged.

Contextual Notes

Participants note that the original post includes a potential misunderstanding of how to express probabilities, highlighting the need for clarity in mathematical notation.

Rubies
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Homework Statement
there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble gets picked?
Relevant Equations
.
there are 5 marbles in a bag: 4 are blue, and 1 is red.
Solution there are 5 in total 4 are Blue so 4/5 or80%
Is it right?
thanks
 
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Yes, it is correct.
 
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Except you should express it as ##\frac 4 5 = .8##, not ##80##% as probabilities are ##0\le p \le 1##.
 
Rubies said:
Problem Statement: there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble gets picked?
Relevant Equations: .

there are 5 marbles in a bag: 4 are blue, and 1 is red.
Solution there are 5 in total 4 are Blue so 4/5 or80%
Is it right?
thanks
Hello Rubies .
:welcome:
 
LCKurtz said:
Except you should express it as ##\frac 4 5 = .8##, not ##80##% as probabilities are ##0\le p \le 1##.

80% = 80/100 = 4/5, not entirely sure what you are debating here.
 
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Math_QED said:
80% = 80/100 = 4/5, not entirely sure what you are debating here.
He's saying that the question asked for a probability, which is a number in the interval [0, 1].
 
Mark44 said:
He's saying that the question asked for a probability, which is a number in the interval [0, 1].

And 80% is just a convenient way to say ##80/100##, which is such a number. It really doesn't matter.
 
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Math_QED said:
And 80% is just a convenient way to say ##80/100##, which is such a number. It really doesn't matter.
In the big scheme of things, you're right. It doesn't matter. The OP clearly understands how to do the problem. But this is a math forum and, in mathematical thought, precision matters. If that had been a 10 point problem on a test, I would have awarded 9 points. 80 is not a number on [0,1].
 
LCKurtz said:
In the big scheme of things, you're right. It doesn't matter. The OP clearly understands how to do the problem. But this is a math forum and, in mathematical thought, precision matters. If that had been a 10 point problem on a test, I would have awarded 9 points. 80 is not a number on [0,1].

But the OP said ##80##%, which is not 80, but ##80/100 \in [0,1]##. I would give the OP full marks if this was a test question. I think substracting points for things like that is the reason that people will get to hate math.
 
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C'mon guys. We know the point of view of each of you.
 
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  • #11
Math_QED said:
But the OP said ##80%##
I can see that you wrote 80%, but when your LaTeX gets rendered, it eats the % character.
 
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  • #12
Mark44 said:
I can see that you wrote 80%, but when your LaTeX gets rendered, it eats the % character.

Edited.
 

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