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# A basket contains 5 apples out of which 1 is spoiled and 4

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Manager
Joined: 23 Jun 2008
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A basket contains 5 apples out of which 1 is spoiled and 4 [#permalink]  12 Jul 2008, 08:44
A basket contains 5 apples out of which 1 is spoiled and 4 are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected from the basket will include the spoiled apple?

a. 1/5
b. 3/10
c. 2/5
d. 1/2
e. 3/5
Director
Joined: 27 May 2008
Posts: 550
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Re: GMAT Prep - Probability [#permalink]  12 Jul 2008, 08:48
balboa wrote:
A basket contains 5 apples out of which 1 is spoiled and 4 are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected from the basket will include the spoiled apple?

a. 1/5
b. 3/10
c. 2/5
d. 1/2
e. 3/5

slection could be SG or GS
1/5 * 4/4 + 4/5 * 1/4
= 2/5
Option C
Manager
Joined: 04 Apr 2008
Posts: 228
Location: Pune
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Re: GMAT Prep - Probability [#permalink]  12 Jul 2008, 14:53
Good one man Your probability is good when are you giving GMAT
durgesh79 wrote:
balboa wrote:
A basket contains 5 apples out of which 1 is spoiled and 4 are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected from the basket will include the spoiled apple?

a. 1/5
b. 3/10
c. 2/5
d. 1/2
e. 3/5

slection could be SG or GS
1/5 * 4/4 + 4/5 * 1/4
= 2/5
Option C

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Manager
Joined: 14 Jun 2007
Posts: 170
Location: Vienna, Austria
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Re: GMAT Prep - Probability [#permalink]  20 Jul 2008, 06:12
experts, can someone explain that via using comb ?

cheers
Intern
Joined: 29 Jun 2008
Posts: 37
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Re: GMAT Prep - Probability [#permalink]  20 Jul 2008, 06:19
All options: select 2 out of 5
Possible options: 1 spoiled selected, now select 1 out of the remaining 4

C1,4 / C2,5 = 4 / (5!/(3!2!) = 4/10 = 2/5
Re: GMAT Prep - Probability   [#permalink] 20 Jul 2008, 06:19
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