Last visit was: 16 Sep 2024, 15:20 It is currently 16 Sep 2024, 15:20
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

When Matthew plays his favorite golf course, his probability of making

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 95555
Own Kudos [?]: 659298 [3]
Given Kudos: 87276
Send PM
CAT Tests Forum Quiz Mode
When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   08 Nov 2019, 01:48
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

66% (01:56) correct 34% (01:48) wrong based on 112 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS

Competition Mode Question



When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?

A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919
ShowHide Answer
Official Answer
D
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1297
Own Kudos [?]: 3669 [3]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Send PM
Re: When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   08 Nov 2019, 02:36
1
Kudos
2
Bookmarks
Let the probability of making a par or better on a par-3 hole = A = 0.3
& probability of NOT making a par or better on a par-3 hole = B = 1 - 0.3 = 0.7

Of Exactly 4 par-3 holes, Probability that Matthew will make par or better on at least one of the par-3 holes
= 1 - Probability (Exactly NO par-3 holes)
= \(1 - 4C_0*(0.7)^4\)
= \(1 - 1*0.2401\)
= \(0.7599\)

IMO Option D
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8064
Own Kudos [?]: 4329 [1]
Given Kudos: 243
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   08 Nov 2019, 03:57
1
Kudos
not getting into par -3 = .7
so for 4 chances we get .7^4 = .2401
1-.2401 ; .7599 at least one of the par-3 holes
IMO D


When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?

A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919
User avatar
D
exc4libur
SVP
SVP
Joined: 24 Nov 2016
Posts: 1710
Own Kudos [?]: 1376 [1]
Given Kudos: 607
Location: United States
Send PM
Re: When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   08 Nov 2019, 04:04
1
Kudos
Quote:
When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?

A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919

1-P(NOT)=P(ATLEAST1)
P(NOT)=NNNN=(7/10)^4=2401/10,000
1-P(NOT)=10,000-2401/10,000=7599/10,000

Ans. (D)
User avatar
D
eakabuah
Retired Moderator
Joined: 18 May 2019
Posts: 782
Own Kudos [?]: 1066 [1]
Given Kudos: 101
Send PM
GMAT ToolKit User
Re: When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   Updated on: 10 Nov 2019, 06:39
1
Kudos
Probability of Matthew making par or better on a par-3 hole = 0.3.
Probality of not making a par or better =0.7
We are to determine the probability of Matthew making at least one par or better on a golf course that has exactly 4 par-3 holes.
Let P(none)= probability of Matthew not making par or better on any 4 par-3 holes and P(E)= probability of Matthew making par or better on at least one par-3 hole.
then P(E) = 1-P(none)
P(none)= 0.7^4= 0.2401
P(E)=1-0.2401 = 0.7599

The answer is, therefore, option D.

Originally posted by eakabuah on 08 Nov 2019, 09:27.
Last edited by eakabuah on 10 Nov 2019, 06:39, edited 2 times in total.
User avatar
L
Raxit85
Director
Director
Joined: 22 Feb 2018
Posts: 784
Own Kudos [?]: 1068 [0]
Given Kudos: 135
Send PM
GMAT ToolKit User
Re: When Matthew plays his favorite golf course, his probability of making [#permalink] When Matthew plays his favorite golf course, his probability of making   09 Nov 2019, 02:21
When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?

P (at least one of the par-3 holes) = Total probability - none = 1 - 0.7 = 0.3

Imo. C
GMAT Club Bot
gmatclubot
Re: When Matthew plays his favorite golf course, his probability of making [#permalink]
09 Nov 2019, 02:21
Moderator:
Bunuel
Math Expert
95555 posts