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# Set A contains three different positive odd integers and two

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Manager
Joined: 18 Jul 2013
Posts: 69

Kudos [?]: 97 [2], given: 114

Location: Italy
GMAT 1: 600 Q42 V31
GMAT 2: 700 Q48 V38
Set A contains three different positive odd integers and two [#permalink]

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03 Aug 2014, 12:05
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Difficulty:

45% (medium)

Question Stats:

67% (01:23) correct 33% (01:21) wrong based on 184 sessions

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Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?

(A) 6/25
(B) 2/5
(C) 1/2
(D) 3/5
(E) 19/25
[Reveal] Spoiler: OA

Kudos [?]: 97 [2], given: 114

Intern
Joined: 19 Oct 2013
Posts: 8

Kudos [?]: 8 [4], given: 16

GMAT Date: 09-17-2014
GPA: 2.93
WE: Information Technology (Computer Software)
Re: Set A contains three different positive odd integers and two [#permalink]

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03 Aug 2014, 12:33
4
KUDOS
oss198 wrote:
Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?

(A) 6/25
(B) 2/5
(C) 1/2
(D) 3/5
(E) 19/25

My approach- probability of product even(P(E)) = 1- probability of product odd(P(O))

Odd product is possible only when an integer picked from both sets is odd, so..

P(O) = (3c1* 2c1)/5c1*5c1
= 6/25
P(E) = 1-6/25 = 19/25.

Hope it helps

Kudos [?]: 8 [4], given: 16

Manager
Joined: 24 Mar 2010
Posts: 113

Kudos [?]: 130 [1], given: 105

Re: Set A contains three different positive odd integers and two [#permalink]

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09 Aug 2014, 01:43
1
KUDOS
oss198 wrote:
Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?

(A) 6/25
(B) 2/5
(C) 1/2
(D) 3/5
(E) 19/25

Another approach:

P (product of 2 chosen integers is even) = P(E&E) + P(E&O) + P (O&E) = 2/5*3/5 + 2/5*2/5 + 3/5*3/5 = 19/25
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Kudos [?]: 130 [1], given: 105

Tutor
Joined: 20 Apr 2012
Posts: 100

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Location: Ukraine
GMAT 1: 690 Q51 V31
GMAT 2: 730 Q51 V38
WE: Education (Education)
Re: Set A contains three different positive odd integers and two [#permalink]

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10 Aug 2014, 01:42
2
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This post was
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Three approaches:
1. Backward (the shortest)
P(product even)=1-P(product odd)=1-P(odd from A)*P(odd from B)=1-3/5*2/5=19/25

2. The previous post
P (product of 2 chosen integers is even) = P(E&E) + P(E&O) + P (O&E) = 2/5*3/5 + 2/5*2/5 + 3/5*3/5 = 19/25

3. Using formula for overlapping sets
P(even from A or even from B)=P(even from A)+P(even from B)-P(even from A and even from B)=2/5+3/5-2/5*3/5=19/25
_________________

I'm happy, if I make math for you slightly clearer
And yes, I like kudos:)

Kudos [?]: 326 [2], given: 36

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Re: Set A contains three different positive odd integers and two [#permalink]

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20 Sep 2015, 14:32
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Set A contains three different positive odd integers and two [#permalink]

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30 Jan 2017, 22:34
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Set A contains three different positive odd integers and two   [#permalink] 30 Jan 2017, 22:34
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