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

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

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New post 08 Aug 2008, 07:24
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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Re: Probability Question - Lottery numbers [#permalink]

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New post 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

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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:

http://businessmajors.about.com/b/2008/ ... er.htm#gB3

"keith" wrote a comment "The Answer is A..." I doubt "keith" will be impressing the adcoms anytime soon.
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Re: Probability Question - Lottery numbers [#permalink]

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New post 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.
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Re: Probability Question - Lottery numbers [#permalink]

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New post 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.

_________________

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**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

Kudos [?]: 617 [0], given: 32

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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.
4/7 is the answer.
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Re: Probability Question - Lottery numbers [#permalink]

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New post 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:

http://businessmajors.about.com/b/2008/ ... er.htm#gB3

"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

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Re: Probability Question - Lottery numbers [#permalink]

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New post 08 Aug 2008, 08:21
If he was smarter, he'd discuss the questions here and not at about.com :-D
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Kudos [?]: 617 [0], given: 32

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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:

http://businessmajors.about.com/b/2008/ ... er.htm#gB3

"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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Re: Probability Question - Lottery numbers [#permalink]

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



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. :-D .. bear stearns was probably full of such smarts

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Re: Probability Question - Lottery numbers [#permalink]

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



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. :-D .. bear stearns was probably full of such smarts


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

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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 :-D



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. :-D .. bear stearns was probably full of such smarts


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



:-D

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Re: Probability Question - Lottery numbers [#permalink]

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


Forgot your verbal already???

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

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

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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 :-D


Forgot your verbal already???

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

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

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**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

Kudos [?]: 617 [0], given: 32

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Re: Probability Question - Lottery numbers [#permalink]

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New post 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

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Re: Probability Question - Lottery numbers   [#permalink] 08 Aug 2008, 23:46
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