GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 16:44

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.

Close

Request Expert Reply

Confirm Cancel

A game at the state fair has a circular target with a radius of 10 cm

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Retired Moderator
avatar
Joined: 29 Apr 2015
Posts: 822
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
GMAT ToolKit User
A game at the state fair has a circular target with a radius of 10 cm  [#permalink]

Show Tags

New post Updated on: 13 Jul 2015, 01:12
1
6
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:42) correct 34% (01:47) wrong based on 209 sessions

HideShow timer Statistics

A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π^2/81
E. π^2/9

_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

Originally posted by reto on 12 Jul 2015, 07:14.
Last edited by Bunuel on 13 Jul 2015, 01:12, edited 1 time in total.
Edited the question.
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2603
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Reviews Badge
Re: A game at the state fair has a circular target with a radius of 10 cm  [#permalink]

Show Tags

New post 12 Jul 2015, 07:24
1
reto wrote:
A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π2/81
E. π2/9


Please format your question properly.

The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square = \(\frac{\pi * 10^2}{30^2}\) = \(\pi / 9\)

Thus for the player to win prizes = P(H) on the first throw * P(H) on the second throw =\(\pi/9 * \pi/9\) = \({\pi ^2}/ {9^2}\) = \({\pi ^2}/ {81}\) . Thus D is the correct answer.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58320
Re: A game at the state fair has a circular target with a radius of 10 cm  [#permalink]

Show Tags

New post 13 Jul 2015, 01:11
reto wrote:
A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π2/81
E. π2/9


Similar question to practice: a-game-at-the-state-fair-has-a-circular-target-with-a-radius-171756.html

Check other Probability and Geometry questions in our Special Questions Directory.

Hope it helps.
_________________
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8043
Location: United States (CA)
Re: A game at the state fair has a circular target with a radius of 10 cm  [#permalink]

Show Tags

New post 31 Oct 2018, 18:29
reto wrote:
A game at the state fair has a circular target with a radius of 10 cm on a square board measuring 30 cm on a side. Players win prizes if they throw two darts and hit only the circular area on both throws. If Jim hit the board on both throws, what is the probability that Jim won the game?

A. 1/3
B. 1/9
C. π/9
D. π^2/81
E. π^2/9


The area of the circular target of the board is 100? cm^2 and the area of the entire board is 900 cm^2, so the probability of hitting the target once is 100?/900, or ?/9. The probability of hitting the target twice is:

?/9 x ?/9 = ?^2/81

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A game at the state fair has a circular target with a radius of 10 cm   [#permalink] 31 Oct 2018, 18:29
Display posts from previous: Sort by

A game at the state fair has a circular target with a radius of 10 cm

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne