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# In a particular lottery game, 6 numbers are chosen out of 4

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SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
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In a particular lottery game, 6 numbers are chosen out of 4 [#permalink]

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08 Aug 2008, 07:24
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

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J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

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Director
Joined: 27 May 2008
Posts: 539
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 07:31
jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

total ways = 8C6

fav ways = 4C3 * 4C3 -- 3 from even and 3 from odd

P = 4C3 * 4C3 / 8C6 = 4/7 option D
SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 07:34
durgesh - Thanks, as usual.

I was thinking 4/7 also in the same way that you did. I suppose it's best to link back to the source of the question:

"keith" wrote a comment "The Answer is A..." I doubt "keith" will be impressing the adcoms anytime soon.
_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

SVP
Joined: 07 Nov 2007
Posts: 1756
Location: New York
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 07:35
jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

(4C3 * 4C3)/(8C6 *2) = 2/7

What is OA.
_________________

Smiling wins more friends than frowning

SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 07:46
why are you doing this:

8C6 * 2

?

x2suresh wrote:
jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

(4C3 * 4C3)/(8C6 *2) = 2/7

What is OA.

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

SVP
Joined: 07 Nov 2007
Posts: 1756
Location: New York
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 07:54
jallenmorris wrote:
why are you doing this:

8C6 * 2

?

x2suresh wrote:
jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

(4C3 * 4C3)/(8C6 *2) = 2/7

What is OA.

never mind.. I was wrong.

it should be 8C6.
_________________

Smiling wins more friends than frowning

Director
Joined: 27 May 2008
Posts: 539
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 08:18
jallenmorris wrote:
durgesh - Thanks, as usual.

I was thinking 4/7 also in the same way that you did. I suppose it's best to link back to the source of the question:

"keith" wrote a comment "The Answer is A..." I doubt "keith" will be impressing the adcoms anytime soon.

i think i know what keith is doing wrong here....

he is just calculation probability of one scenario

E E E O O O
= 4/8 * 3/7 * 2/6 * 4/5 * 3/4 * 2/3 = 1/35

he should know that EEOOEO or EOEOEO and many others (20 to be precise) are also possible and the probablity is sum of all these ... = 20 * 1/35 = 4/7

i
SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 08:21
If he was smarter, he'd discuss the questions here and not at about.com
_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

SVP
Joined: 29 Aug 2007
Posts: 2452
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 08:48
jallenmorris wrote:
durgesh - Thanks, as usual.

I was thinking 4/7 also in the same way that you did. I suppose it's best to link back to the source of the question:

"keith" wrote a comment "The Answer is A..." I doubt "keith" will be impressing the adcoms anytime soon.

i donot think 1/35 make sense.

jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

TOTAL = 8
NO OF WAYS 6 NUMBERS CAN BE CHOSEN = 8C6 = 8X7X6!/[(6!)(6-4)!] = 28
no of ways 3 odd and 3 even can be chose out of 8 numbers = 4c3 x 4c3 = 16
so prob = 16/28 = 4/7
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Manager
Joined: 15 Jul 2008
Posts: 205
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 08:52
jallenmorris wrote:
If he was smarter, he'd discuss the questions here and not at about.com

I am convinced that smarty pants like these got lucky, slipped through the filter, got into hot shot b-school, landed in even "hotter shotter" wall street firm and created the sub prime mess we are in. .. bear stearns was probably full of such smarts
Director
Joined: 27 May 2008
Posts: 539
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 08:57
bhushangiri wrote:
jallenmorris wrote:
If he was smarter, he'd discuss the questions here and not at about.com

I am convinced that smarty pants like these got lucky, slipped through the filter, got into hot shot b-school, landed in even "hotter shotter" wall street firm and created the sub prime mess we are in. .. bear stearns was probably full of such smarts

if 1/35 can give me all this ... i change my answer .. its 1/35
Manager
Joined: 15 Jul 2008
Posts: 205
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 09:04
durgesh79 wrote:
bhushangiri wrote:
jallenmorris wrote:
If he was smarter, he'd discuss the questions here and not at about.com

I am convinced that smarty pants like these got lucky, slipped through the filter, got into hot shot b-school, landed in even "hotter shotter" wall street firm and created the sub prime mess we are in. .. bear stearns was probably full of such smarts

if 1/35 can give me all this ... i change my answer .. its 1/35

Director
Joined: 23 Sep 2007
Posts: 767
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 09:34
jallenmorris wrote:
If he was smarter, he'd discuss the questions here and not at about.com

it should be "if he WERE smarter..."

that was probally what kept you from the perfect 800 score.
SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 14:00
lol. Evidently I have forgotten the verbal already. Dang, 2 weeks after the GMAT and I'm forgetting it all. What will happen 2 weeks after b-school? assuming I get in.

I'm sure that is exactly what kept me from getting the 800 . Everyone has been very helpful coming up with reasons for not scoreing higher. My bad grammar and what seems to be the favorite: My head up my a\$\$.

how are the essays going gmatnub?

gmatnub wrote:
jallenmorris wrote:
If he was smarter, he'd discuss the questions here and not at about.com

it should be "if he WERE smarter..."

that was probally what kept you from the perfect 800 score.

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Joined: 06 Apr 2008
Posts: 401
Re: Probability Question - Lottery numbers [#permalink]

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08 Aug 2008, 23:46
jallenmorris wrote:
In a particular lottery game, 6 numbers are chosen out of 4 even numbers and 4 odd numbers. What is the probability that the six numbers chosen will have an equal number of even and odd numbers?

A) 1/35
B) 2/7
C) 1/2
D) 4/7
E) 3/4

D)

4C3 * 4C3 / 8C6 = 4/7

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Probability Question - Lottery numbers   [#permalink] 08 Aug 2008, 23:46
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