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# In a certain baord game, a stack of 48 cards, 8 of which

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Intern
Joined: 05 Jun 2015
Posts: 24
Location: Viet Nam
GMAT 1: 740 Q49 V41
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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24 Apr 2016, 02:15
chetan2u wrote:
Hi,
the first two not being a stock card is no more a probability but a fact..
there is some action carried out and you have to work further to it..
out of 48 cards, you have already picked up two cards.. so the present case is that you are left with 46 cards and the prob will depend on these cards now..

Hi Chetan2u,

A silly question: How can we differentiate between a fact and a probability?

I am very confused maybe because I am not familiar with the wording. I thought the first two cards constitute a probability. Could you please give some wording examples for both 'a fact' and 'a probability' types of question? Could you please help me understand the difference between the two?

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GMAT 1: 740 Q49 V41
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In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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24 Apr 2016, 04:44
chetan2u wrote:

Hi,
you have given a Q above wherein there are 3 blacks and 5 white, and we are to find the probability that 4th is black..
here you are not aware what has happened in the first three DRAWS, so picking of all 8 will remain PROBABILITY..

Hi,
Thank you! I think I understand this one.

Quote:
But what happens when you have picked two cards and you are told they do not contain the card we are lookin for..
you had 48 cards out of which 8 are say TYPE X, and you have to find the probability that third is TYPE X..

Our probability will continue to be out of all 48..

I am a bit confused here. If I am told that the two cards do not contain the card I'm looking for, then how come the probability continues from 48? Doen't it start from the remaining 46 cards?

Quote:
If you are told first two are not type X...
so now you have ONLY 46 cards left, Because in the TWO picked, there is no probability involved since we know what those cards are..
Probability is ONLY there where we do not know the out come..

Doesn't this contradict with your above statement? You said we start from 48 after the first two cards. But here you point out that we calculate on the remaining 46 cards. Is it a typo or something? Please clarify.

Thank you very much!
Intern
Joined: 05 Jun 2015
Posts: 24
Location: Viet Nam
GMAT 1: 740 Q49 V41
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In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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24 Apr 2016, 04:59
chetan2u wrote:
But what happens when you have picked two cards andand you are not aware what those two cards contain..
you had 48 cards out of which 8 are say TYPE X, and you have to find the probability that third is TYPE X..

Our probability will continue to be out of all 48..

So, in this case, the probability that the third card is of type X will equal $$\frac{8}{48}$$. Is that right?

Thank you very much! You've been very helpful!
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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16 Jul 2017, 06:36
there are total of 48 cards out of which 8 are stock cards so the probability of picking a card from the stock card is 8/48 =S and the other cards are 40/48=N therefore, NNS=5/6*4/5*1/6=1/9 where am i going wrong??
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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17 Jul 2017, 08:11
longhaul123 wrote:
there are total of 48 cards out of which 8 are stock cards so the probability of picking a card from the stock card is 8/48 =S and the other cards are 40/48=N therefore, NNS=5/6*4/5*1/6=1/9 where am i going wrong??

The probability of picking a Non-stock card, Non-stock card and a Stock card is different from this question.

Here, you are given that the first two are non-stock cards so you do not need to account for the probability of those being non-stock. It is already known that they are.

Also, the probability of selecting NNS would be (40/48)*(39/47)*(8/46)
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Karishma
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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25 Jul 2017, 07:51
total possibilities 48 after elimnating 2 now 46
now what is the probability from these 46 on 3rd pick the card can be of stock
that is 8/46=4/23
Option:E
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Joined: 28 Jan 2017
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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19 Oct 2017, 14:32
there is a total of 48 cards, 2 got picked and are not shares of stock, 48-2=46, 46 cards are remaining that may be picked and represent shares of stock. Therefore, the probability of the third one will be share of stock is 8/46=4/23
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Re: In a certain baord game, a stack of 48 cards, 8 of which  [#permalink]

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22 Dec 2019, 10:53
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Re: In a certain baord game, a stack of 48 cards, 8 of which   [#permalink] 22 Dec 2019, 10:53

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