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# probability

Author Message
Intern
Joined: 02 Jun 2009
Posts: 22

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02 Jun 2009, 03:48
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

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M = {-6, -5, -4, -3, -2}
T = {-2, -1, 0, 1, 2, 3}

If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?

A. 0
B. 1/3
C. 2/5
D. 1/2
E. 3/5

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Senior Manager
Joined: 16 Jan 2009
Posts: 341
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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03 Jun 2009, 12:14
what is the probability that the product of the two integers will be negative....

for the product to be negative , one of the two terms should be positive and the other negative.
Since there is no positive term in M , it will always provide the -ve term in the product.
FOr the balance we will choose only positive terms from T.

sample space = 5*6 = 30
no of favourable outcomes = 5C1 * 3C1= 5*3 = 15

prob = 15 / 30 = 1/2
IMO D
_________________

Lahoosaher

Senior Manager
Joined: 15 Jan 2008
Posts: 263

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04 Jun 2009, 02:25
actually, the problem is a lot simpler than it looks..

As exactly half of the numbers in the second set are positive, therby contributing to the final -ve product.

hence the probability will be 1/2.
Intern
Joined: 12 May 2009
Posts: 46
Location: Mumbai

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04 Jun 2009, 04:30
IMO D;

(Possible outcomes/Total outcomes)

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

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

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Re: probability   [#permalink] 04 Jun 2009, 04:30
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