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From (1, 2, 3, 4, 5, 6), one number is picked out and replac

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From (1, 2, 3, 4, 5, 6), one number is picked out and replac [#permalink]

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New post 18 Sep 2013, 11:44
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From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 8, what is the probability that the 2 numbers included the number 5?

A. 1/5
B. 2/5
C. 3/10
D. 3/5
E. 1/4
[Reveal] Spoiler: OA

Last edited by jlgdr on 24 Mar 2014, 18:34, edited 2 times in total.

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Re: From (1, 2, 3, 4, 5, 6), one number is picked out and replac [#permalink]

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New post 18 Sep 2013, 11:50
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jlgdr wrote:
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 8, what is the probability that the 2 numbers included the number 5?


We know that the sum of two numbers picked was 8. So, there could be the following cases:
(2, 6);
(6, 2);
(3, 5);
(5, 3);
(4, 4).

Total of 5 cases out of which 2 have 5, thus the probability is 2/5.
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Re: From (1, 2, 3, 4, 5, 6), one number is picked out and replac [#permalink]

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New post 18 Sep 2013, 11:52
Bunuel wrote:
jlgdr wrote:
From (1, 2, 3, 4, 5, 6), one number is picked out and replaced and one number is picked out again. If the sum of the 2 numbers is 8, what is the probability that the 2 numbers included the number 5?


We know that the sum of two numbers picked was 8. So, there could be the following cases:
(2, 6);
(6, 2);
(3, 5);
(5, 3);
(4, 4).

Total of 5 cases out of which 2 have 5, thus the probability is 2/5.


Similar question to practice: six-cards-numbered-from-1-to-6-are-placed-in-an-empty-bowl-55311.html

Hope it helps.
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: From (1, 2, 3, 4, 5, 6), one number is picked out and replac [#permalink]

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Re: From (1, 2, 3, 4, 5, 6), one number is picked out and replac   [#permalink] 24 Oct 2017, 23:49
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