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April 20th, 2017, 01:01 AM   #1
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Probability in Algebra

Solve for the probability that a student is selected at random from a group of 20 students will draw a 6 from a bag with the numbers 1 though 15 in it. Show and explain all of your work.

Could anyone tell me how I would go about this? Thanks
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April 20th, 2017, 01:49 AM   #2
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does it matter which student is chosen?

Well there's nothing in the problem that would lead you to believe one student will chose any differently than any other student so no. Thus the bit about choosing a student at random doesn't matter at all.

What's the probability that any student will choose a 6 out of the 15 tiles.

Well there's only one 6 out of the 15 so the probability is

$p=\dfrac {1}{15}$
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April 20th, 2017, 02:31 AM   #3
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Quote:
Originally Posted by romsek View Post
does it matter which student is chosen?

Well there's nothing in the problem that would lead you to believe one student will chose any differently than any other student so no. Thus the bit about choosing a student at random doesn't matter at all.

What's the probability that any student will choose a 6 out of the 15 tiles.

Well there's only one 6 out of the 15 so the probability is

$p=\dfrac {1}{15}$
Thank you! This seems so obvious to me now, I don't know why I didn't see how simple that was. Lol
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April 20th, 2017, 04:24 AM   #4
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Quote:
Originally Posted by Indigo28 View Post
Solve for the probability that a student is selected at random from a group of 20 students will draw a 6 from a bag with the numbers 1 though 15 in it. Show and explain all of your work.

Could anyone tell me how I would go about this? Thanks
Romsek gave the correct answer to a reasonable interpretation of a flawed question. I do not think it is the only possible interpretation.

"A student is selected at random from a group of 20 students will draw ..." The verb "will draw" has no subject. Romsek assumes quite sensibly that the intended subject is "the student, who is selected ..., will draw." He then deduces correctly that how the student is selected is irrelevant to whether that student draws a 6. I agree if that is the intended problem.

But that very minimal addition to the words of the given problem may not be the correct addition needed to get to the intended problem.

Is the problem you gave the complete and exact wording of the problem in your text? If not, what is the complete and exact wording?
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