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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

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
_________________

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

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

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.
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

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$$.

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. 4/7 is the answer.
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

"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
_________________

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

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

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

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

Forgot your verbal already???

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$$.

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?