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# If x is to be chosen at random from the set {1,2,3,4} and y

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Intern
Joined: 26 Feb 2011
Posts: 38
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Kudos [?]: 104 [0], given: 1

If x is to be chosen at random from the set {1,2,3,4} and y [#permalink]

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01 Mar 2011, 09:32
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Question Stats:

84% (01:22) correct 16% (00:50) wrong based on 37 sessions

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If x is to be chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, whats the probability that xy will be even?

A. 1/6
B. 1/3
C. 1/2
D. 2/3
E. 5/6

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-is-to-be-chosen-at-random-from-the-set-1-2-3-4-and-167089.html
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 37576
Followers: 7394

Kudos [?]: 99427 [0], given: 11022

Re: Set problem [#permalink]

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01 Mar 2011, 09:42
If x is to be chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, whats the probability that xy will be even?
A/ 1/6
B/ 1/3
C/ 1/2
D/ 2/3
E/ 5/6

The product to be even either one or both must be even, so:
P(x=even OR y=even)=P(x=even)+P(y=even)-P(x=even AND y=even)=2/4+1/3-2/4*1/3=2/3;

Or: P(xy=even)=1-P(xy=odd)=1-2/4*2/3=2/3, so basically we find the probability of the product to be odd (which happens when both x and y are odd) and subtract it from 1.

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Joined: 23 Oct 2010
Posts: 385
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
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Kudos [?]: 343 [0], given: 73

Re: Set problem [#permalink]

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17 Feb 2014, 02:15
If we take 6 from Set 2 , we can take any 4 numbers from set 1
If we take 2 from Set 1 , we can take any 2 numbers from set 2 (exclude 6, since u count it once)
If we take 4 from Set 1 , we can take any 2 numbers from set 2 (exclude 6, since u count it once)

so we have (4+2+2)/ (4c1*3c1)=2/3
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Math Expert
Joined: 02 Sep 2009
Posts: 37576
Followers: 7394

Kudos [?]: 99427 [0], given: 11022

Re: If x is to be chosen at random from the set {1,2,3,4} and y [#permalink]

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17 Feb 2014, 02:21
OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-is-to-be-chosen-at-random-from-the-set-1-2-3-4-and-167089.html
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Re: If x is to be chosen at random from the set {1,2,3,4} and y   [#permalink] 17 Feb 2014, 02:21
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# If x is to be chosen at random from the set {1,2,3,4} and y

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