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#1 2011-07-04 00:50:21

Marisca
Member
Registered: 2011-04-22
Posts: 53

Probability help needed...

Hi, I was having a little trouble with this question, and wondering if anyone could help me?
two bowls each contain 10 pieces of fruit. In bowl A there are 5 oranges and 5 apples, in bowl B there is 1 orange and 9 apples.
With no replacement AND replacement;  find the probability that two pieces of fruit chosen will both be apples?

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#2 2011-07-04 01:00:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

One from each bowl?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2011-07-04 01:24:39

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Yes

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#4 2011-07-04 01:27:23

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

Since you are only picking one from each bowl, replacement issues do not arise.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2011-07-04 01:46:33

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

That's weird, my text book shows a different answer....

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#6 2011-07-04 01:48:35

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

You know why? Because the only way that problem makes sense is to drop the condition that one fruit comes from each bowl.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2011-07-04 01:55:23

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Ah ok, that makes sense now. smile

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#8 2011-07-04 01:57:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Is there some more to that question?

Since we now have a couple of choices, 2 from the first bowl or 2 from the second bowl or one from each, I am going to have to know the probability of each of those.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#9 2011-07-04 02:07:24

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

If you're referring to the above question, then no that's there was. However, there is a separate part of that question which asks.

"If one bowl is chosen at random and from it one piece of fruit is chosen at random without replacement. Find the probability that the fruit chosen is an apple."
and that..
"...if the piece of fruit chosen was an apple. Find the probability that A was the chosen bowl".

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#10 2011-07-04 02:10:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

There you go. One more thing. it says chosen at random, can I assume that the probability of either bowl being chosen is 1 / 2 ?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#11 2011-07-04 02:11:16

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Yes

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#12 2011-07-04 02:13:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

First question 7 / 10. Please check.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#13 2011-07-04 02:16:10

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Yep, that's right.
The second should be 5/14

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#14 2011-07-04 02:41:06

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

Sorry, I am got called away. I am getting:

I had to use Bayes theorem.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#15 2011-07-04 02:52:35

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Bayes theorem? I've actually never heard of that.
No matter, I'll look it up later tonight smile Thank you so much for helping!

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#16 2011-07-04 02:58:28

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

Hope I got it right, I always get those wrong.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#17 2011-07-04 18:40:53

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Probability help needed...

Hi all,

For post #9,

Is post #1 a different question? I get:


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#18 2011-07-06 01:01:10

Marisca
Member
Registered: 2011-04-22
Posts: 53

Re: Probability help needed...

Hello, no it was right.

Thanks for helping gAr; post #1 was the same question.

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#19 2011-07-06 01:03:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Hi;

Are we done?

Looks like gAr has changed his signature.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#20 2011-07-06 01:31:10

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Probability help needed...

Hi,

Okay, #1 said "2 pieces of fruits are chosen...", so thought that it was a different question.
Did you try that way?

Hi bobbym,

It is an addendum to the path to enlightenment!

Last edited by gAr (2011-07-06 01:31:30)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#21 2011-07-06 01:36:58

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Probability help needed...

Is it not a Sherlock Holmes quote?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#22 2011-07-06 01:38:04

gAr
Member
Registered: 2011-01-09
Posts: 3,482

Re: Probability help needed...

Yes, it is.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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