Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
02 Mar 2009, 11:37

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

72% (01:44) correct
28% (00:55) wrong based on 307 sessions

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?

Re: PS: Probability Apples [#permalink]
02 Mar 2009, 13:22

1

This post received KUDOS

1

This post was BOOKMARKED

bmiller0731 wrote:

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?

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

p (both apples are not spoiled) = 4C2/5C2 = 4*3/5*4 = 3/5

p (one of the apple spoiled) = 1-3/5 = 2/5 _________________

Your attitude determines your altitude Smiling wins more friends than frowning

Re: PS: Probability Apples [#permalink]
02 Mar 2009, 13:46

6

This post received KUDOS

1

This post was BOOKMARKED

Total Apples = 5 Spoiled Apples = 1 Not Spoiled Apples = 4

Possible outcomes: (Apple 1) Not Spoiled, (Apple 2) Spoiled; = (4/5)*(1/4) = 4/20 or 2/10. OR (Apple 1) Spoiled, (Apple 2) Not Spoiled; = (1/5)*(4/4) = 4/20 or 2/10.

Re: PS: Probability Apples [#permalink]
07 Mar 2009, 09:41

bmiller0731 wrote:

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?

Re: PS: Probability Apples [#permalink]
07 Mar 2009, 09:58

bmiller0731 wrote:

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?

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

prob (one spoiled and one good) = (no. of ways of selecting 1 spoiled and 1 good)/(total no. of ways of selecting 2 apples)

prob = (select one good AND one bad)/(select any two out of 5) = 4c1*1C1 / 5c2 = 2/5

Re: A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
25 Mar 2012, 11:12

10

This post received KUDOS

Expert's post

4

This post was BOOKMARKED

mymbadreamz wrote:

I didn't understand. Could someone explain?

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple? A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5

Direct combinatorial approach: Probability=\frac{# \ of \ favorable \ outcomes}{total \ # \ of \ outcomes}: Favorable outcomes: C^1_1*C^1_4 --> C^1_1 choosing one rotten out of 1 and C^1_4 choosing any for the second apple; Total # of outcomes: C^2_5, choosing 2 apples out of 5; P=\frac{C^1_1*C^1_4}{C^2_5}=\frac{2}{5}.

Reverse combinatorial approach: Let's count the probability of the opposite event and subtract this value from 1. The opposit event will be if out of 2 apples both are good, so P=1-\frac{C^2_4}{C^2_5}=\frac{2}{5}.

Direct probability approach: P=\frac{1}{5}*\frac{4}{4}+\frac{4}{5}*\frac{1}{4}=\frac{2}{5}: probability of {first apple rotten, second apple good} plus the probability of {first apple good, second apple rotten}.

Reverse probability approach: Again 1- the probability of the opposite event --> P=1-\frac{4}{5}*\frac{3}{4}=\frac{2}{5}.

Re: A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
27 Aug 2012, 10:52

+1 C

Total number of combinations: 5!/3! = 20 Number of combinations that include the spoiled apple: When the spoiled apple is the first apple picked: 1*4= 4 When the spoiled apple is the second apple picked: 4*1 = 4 Total: 8

Probability: 8/20 = 2/5

C. _________________

"Life’s battle doesn’t always go to stronger or faster men; but sooner or later the man who wins is the one who thinks he can."

Re: A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
27 Aug 2012, 13:09

bmiller0731 wrote:

A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?

A. 1/5 B. 3/10 C. 2/5 D. 1/2 E. 3/5

Computing directly probabilities and using the complementary event:

P(spoiled apple selected) = 1 - P(no spoiled apple selected) = 1 - P(first apple not spoiled)*P(second apple also not spoiled) = 1 - (4/5)*(3/4) = 1 - 3/5 = 2/5.

Answer C _________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
25 Sep 2012, 08:37

1

This post received KUDOS

No. of apples that are not spoiled = 4 No. of apples that are spoiled = 1

The question is asking us to find out the probability of finding one spoiled apple among the 2 randomly selection ...

We can have 2 scenarios , Scenario A) where the first apple selected is not spoiled , and the second apple selected is spoiled and Scenario B) where the first apple selected is spoiled and the second selected is not spoiled ..

Scenario A) We have four apples out of five that are not spoiled , therefore probability is 4/5 , the second apple is a spoiled one out of the remaining 4 , therefore we have overall probability of this outcome as (4/5) x (1/4) = 4/20

Scenario B ) We have only one apple out of 5 that is spoiled so probability is 1/5 , the second apple can be one from any 4 remaining thefore 4/4... Probability of this outcome is (1/5) x (4/4) = 1/5 ....

We must add these two scenarios therefore we get 4/20 + 1/5 = 8/20 = 2/5 (C) _________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Re: A basket contains 5 apples, of which 1 is spoiled and the [#permalink]
28 Sep 2014, 07:13

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. _________________

I´ve done an interview at Accepted.com quite a while ago and if any of you are interested, here is the link . I´m through my preparation of my second...

It has been a good week so far. After the disappointment with my GMAT score, I have started to study again, re-schedule the new test date and talked with...

It’s here. Internship season. The key is on searching and applying for the jobs that you feel confident working on, not doing something out of pressure. Rotman has...