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# A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7}

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Intern
Joined: 27 Sep 2010
Posts: 27

Kudos [?]: 87 [0], given: 3

A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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23 Jan 2011, 11:31
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Q) A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} is defined with given numbers. Now one number is chosen randomly from each of the given set in such a way that the absolute difference between the two numbers is 2. What is the probability that one of the number chosen is 3?

Answer:- 1/2
(Sorry I don't have the answer choices for the question above.)

Kudos [?]: 87 [0], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128912 [2], given: 12183

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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23 Jan 2011, 11:48
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MichelleSavina wrote:
Q) A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} is defined with given numbers. Now one number is chosen randomly from each of the given set in such a way that the absolute difference between the two numbers is 2. What is the probability that one of the number chosen is 3?

Answer:- 1/2
(Sorry I don't have the answer choices for the question above.)

Probability=# of favorable outcomes/total # of outcomes;

There are total of 8 (p,q) pairs possible so that the absolute difference between the two numbers to be 2: (1, 3), (2, 4), (3, 5), (3, 1), (4, 6), (4, 2), (5, 7), (5, 3) (first # is chosen from set P and second # is chosen from set Q). 4 pairs contain the number 3 in it, so P=4/8=1/2.
_________________

Kudos [?]: 128912 [2], given: 12183

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Joined: 09 Sep 2013
Posts: 16652

Kudos [?]: 273 [0], given: 0

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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01 Nov 2015, 10:31
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Kudos [?]: 273 [0], given: 0

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Kudos [?]: 273 [0], given: 0

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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16 Nov 2016, 11:17
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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Kudos [?]: 273 [0], given: 0

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Location: India
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Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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11 Dec 2016, 21:03
Bunuel wrote:
MichelleSavina wrote:
Q) A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} is defined with given numbers. Now one number is chosen randomly from each of the given set in such a way that the absolute difference between the two numbers is 2. What is the probability that one of the number chosen is 3?

Answer:- 1/2
(Sorry I don't have the answer choices for the question above.)

Probability=# of favorable outcomes/total # of outcomes;

There are total of 8 (p,q) pairs possible so that the absolute difference between the two numbers to be 2: (1, 3), (2, 4), (3, 5), (3, 1), (4, 6), (4, 2), (5, 7), (5, 3) (first # is chosen from set P and second # is chosen from set Q). 4 pairs contain the number 3 in it, so P=4/8=1/2.

Why not (7,5) (6,4) are taken in total

Kudos [?]: [0], given: 259

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128912 [0], given: 12183

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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12 Dec 2016, 01:10
himanshukamra2711 wrote:
Bunuel wrote:
MichelleSavina wrote:
Q) A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} is defined with given numbers. Now one number is chosen randomly from each of the given set in such a way that the absolute difference between the two numbers is 2. What is the probability that one of the number chosen is 3?

Answer:- 1/2
(Sorry I don't have the answer choices for the question above.)

Probability=# of favorable outcomes/total # of outcomes;

There are total of 8 (p,q) pairs possible so that the absolute difference between the two numbers to be 2: (1, 3), (2, 4), (3, 5), (3, 1), (4, 6), (4, 2), (5, 7), (5, 3) (first # is chosen from set P and second # is chosen from set Q). 4 pairs contain the number 3 in it, so P=4/8=1/2.

Why not (7,5) (6,4) are taken in total

There is not 7 and there is no 6 in set P.
_________________

Kudos [?]: 128912 [0], given: 12183

Intern
Joined: 07 Oct 2016
Posts: 13

Kudos [?]: 34 [0], given: 3

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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25 Sep 2017, 08:13
There are total of 8 (p,q) pairs possible so that the absolute difference between the two numbers to be 2: (1, 3), (2, 4), (3, 5), (3, 1), (4, 6), (4, 2), (5, 7), (5, 3) (first # is chosen from set P and second # is chosen from set Q). 4 pairs contain the number 3 in it, so P=4/8=1/2.[/quote]

Bunuel - according to my inference from the question we are not specifically told to select first no. from set P and the second no. from set Q. Why are we specifically following the order ?
Could u please explain as to how did u extrapolate that first should no. should be taken by Set P and second no. form Set Q

Kudos [?]: 34 [0], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 41891

Kudos [?]: 128912 [0], given: 12183

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7} [#permalink]

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25 Sep 2017, 08:17
gmatdemolisher1234 wrote:
There are total of 8 (p,q) pairs possible so that the absolute difference between the two numbers to be 2: (1, 3), (2, 4), (3, 5), (3, 1), (4, 6), (4, 2), (5, 7), (5, 3) (first # is chosen from set P and second # is chosen from set Q). 4 pairs contain the number 3 in it, so P=4/8=1/2.

Bunuel - according to my inference from the question we are not specifically told to select first no. from set P and the second no. from set Q. Why are we specifically following the order ?
Could u please explain as to how did u extrapolate that first should no. should be taken by Set P and second no. form Set Q[/quote]

It just means that when I list the possible pairs in each pair first # is from set P and second # is from set Q.
_________________

Kudos [?]: 128912 [0], given: 12183

Re: A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7}   [#permalink] 25 Sep 2017, 08:17
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# A set P = {1, 2, 3, 4, 5} and set Q = {1, 2, 3, 4, 5, 6, 7}

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