Two integers will be randomly selected from the sets above,

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Two integers will be randomly selected from the sets above, [#permalink]

02 Dec 2012, 07:51

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Question Stats:

66% (01:38) correct

33% (01:05) wrong

based on 4 sessions

A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}

Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?

(A) 0.15
(B) 0.20
(C) 0.25
(D) 0.30
(E) 0.33

[Reveal] Spoiler: OA

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Re: Two integers will be randomly selected from the sets above, [#permalink]

02 Dec 2012, 07:52

Walkabout wrote:

The total number of pairs possible is 4*5=20. Out of these 20 pairs only 4 sum up to 9: (2, 7); (3, 6), (4, 5) and (5, 4). The probability thus is 4/20=0.2.

Answer: B.
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Re: Two integers will be randomly selected from the sets above, [#permalink]

02 Dec 2012, 18:51

How about this line of thought:

I pick a number from Set A. No matter which number I pick, my chance of chosing the right number (which gives A+B = 9) in Set B will be 1/5.

Therefore 1/5 = 0.20 => B

Re: Two integers will be randomly selected from the sets above, [#permalink] 02 Dec 2012, 18:51

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Two integers will be randomly selected from the sets above,

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Two integers will be randomly selected from the sets above,

Two integers will be randomly selected from the sets above,

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