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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 == Message from GMAT Club Team == This is not a quality discussion. It has been retired. If you would like to discuss this question please repost 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.
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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



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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: 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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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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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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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.
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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: 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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08 Aug 2008, 08:21
If he was smarter, he'd discuss the questions here and not at about.com
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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: 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!)(64)!] = 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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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 bschool, 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



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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 bschool, 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



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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 bschool, 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



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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 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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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 bschool? 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.
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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 repost 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
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