Find all School-related info fast with the new School-Specific MBA Forum

It is currently 21 Sep 2014, 12:24

Close

GMAT Club Daily Prep

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

On his drive to work, Leo listens to one of three radio stat

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 18 Jul 2010
Posts: 46
Followers: 0

Kudos [?]: 12 [0], given: 6

On his drive to work, Leo listens to one of three radio stat [#permalink] New post 11 Nov 2010, 07:00
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

62% (01:46) correct 38% (00:41) wrong based on 13 sessions
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?

A. 0.027
B. 0.090
C. 0.417
D. 0.657
E. 0.900
[Reveal] Spoiler: OA

Attachments

PS.JPG
PS.JPG [ 62.37 KiB | Viewed 1095 times ]


Last edited by Bunuel on 09 Jul 2013, 08:08, edited 1 time in total.
Renamed the topic and edited the question.
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23504
Followers: 3510

Kudos [?]: 26605 [1] , given: 2714

Re: Radio Station [#permalink] New post 11 Nov 2010, 07:04
1
This post received
KUDOS
Expert's post
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
A. 0.027
B. 0.090
C. 0.417
D. 0.657
E. 0.900

The desired probability is the sum of the following events:

A is playing the song he likes - 0.3;
A is not, but B is - 0.7*0.3=0.21;
A is not, B is not, but C is - 0.7*0.7*0.3=0.147;
P=0.3+0.21+0.147=0.657.

Or: 1-the probability that neither of the stations is playing the song he likes: P=1-0.7*0.7*0.7=0.657.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 18 Jul 2010
Posts: 46
Followers: 0

Kudos [?]: 12 [0], given: 6

Re: Radio Station [#permalink] New post 11 Nov 2010, 07:06
Like the second option.
You are damn fast!
Thanks a lot!
Manager
Manager
User avatar
Joined: 01 Nov 2010
Posts: 183
Location: Zürich, Switzerland
Followers: 2

Kudos [?]: 15 [0], given: 20

Re: Radio Station [#permalink] New post 11 Nov 2010, 12:07
On a station, the probability of getting song of choice is - 3/10.
The probability of not getting the song of choice on any station therefore is - 7/10.

So,
Probability of getting a song of choice on at least one of the stations

= 1-Probability of not getting a song of choice while trying all 3 stations.
= 1 - (7/10)*(7/10)*(7/10)
= 1- 343/1000
= 657/1000
=.657

Answer:- D
Re: Radio Station   [#permalink] 11 Nov 2010, 12:07
    Similar topics Author Replies Last post
Similar
Topics:
10 During a single hour of a pledge drive for a public radio RaviChandra 34 11 Apr 2010, 10:14
2 Although the listening audience of satellite radio amount to Casinoking 8 07 Nov 2009, 20:40
On his drive to work, Leo listens one of three radio station shobuj40 2 12 Jan 2009, 05:22
On his drive to work, Leo listens to one of three radio leeye84 4 11 Oct 2007, 08:40
On his drive to work, John listens to one of 3 radio parikshat 1 05 Nov 2005, 23:40
Display posts from previous: Sort by

On his drive to work, Leo listens to one of three radio stat

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.