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What is the probability that there is exactly 1 defective

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Joined: 06 Jun 2012
Posts: 124
What is the probability that there is exactly 1 defective  [#permalink]

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27 Mar 2013, 06:17
3
10
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:18) correct 40% (01:20) wrong based on 331 sessions

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What is the probability that there is exactly 1 defective pen in a box of pens?

(1) The probability that all the pens in the box are not defective is 96%
(2) The probability that there is more than 1 defective pen in the box is 3%

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Re: What is the probability that there is exactly 1 defective  [#permalink]

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28 Mar 2013, 05:01
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2
summer101 wrote:
What is the probability that there is exactly 1 defective pen in a box of pens?

(1) The probability that all the pens in the box are not defective is 96%
(2) The probability that there is more than 1 defective pen in the box is 3%

Total probability = Probability that there are no defective pen boxes +probability that there is exactly 1 defective pen boxes+ probability that there are more than 1 defective pen boxes

STAT1
tells us about the number of non defective pen boxes.. but we dont have any information about the number of more than 1 defective pen boxes
So, Its NOT SUFFICIENT

STAT2
tells us about the number of more than 1 defective pen boxes but does not tell us about the number of non defective pen boxes..
So, Its NOT SUFFICIENT

Taking both together we have both the information we were looking for
the number of non defective pen boxes and
the number of more than 1 defective pen boxes

So, we have
total probability = 1 = Probability that there are no defective pen boxes +probability that there is exactly 1 defective pen boxes+ probability that there are more than 1 defective pen boxes
1= .96 + probability that there is exactly 1 defective pen boxes + .3
so, probability that there is exactly 1 defective pen boxes = .1 = 1%

Hope it helps!
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Joined: 02 Nov 2015
Posts: 21
Re: What is the probability that there is exactly 1 defective  [#permalink]

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13 Sep 2016, 07:34
1
Hi,

Just for discussion- is "Probability that there are no defective pens in box" same as "The probability that all the pens in the box are not defective is 96%". Would you want to throw more light on that? Calculation looks justified and I got the same answer as well but would like to discuss on that.

Bunuel,

Regards
Yash
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Joined: 09 Sep 2013
Posts: 9420
Re: What is the probability that there is exactly 1 defective  [#permalink]

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19 Mar 2018, 07:02
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the probability that there is exactly 1 defective &nbs [#permalink] 19 Mar 2018, 07:02
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