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

 It is currently 23 Oct 2019, 19:00

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

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

Claire estimates her chances of being admitted to her top five schools

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58464
Claire estimates her chances of being admitted to her top five schools  [#permalink]

Show Tags

28 Feb 2019, 00:25
00:00

Difficulty:

85% (hard)

Question Stats:

42% (02:24) correct 58% (02:18) wrong based on 66 sessions

HideShow timer Statistics

Claire estimates her chances of being admitted to her top five schools as follows: 80 percent for Debs U, 70 percent for Powderly State, 50 percent for Randolph A&M, 20 percent for Reuther, and 10 percent for Chavez Poly. If Claire’s estimates are correct, her chance of being admitted to at least one of her top five schools is between

A. 75% and 79.99%
B. 80% and 84.99%
C. 85% and 89.99%
D. 90% and 94.99%
E. 95% and 99.99%

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5043
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Claire estimates her chances of being admitted to her top five schools  [#permalink]

Show Tags

28 Feb 2019, 07:08
4
Bunuel wrote:
Claire estimates her chances of being admitted to her top five schools as follows: 80 percent for Debs U, 70 percent for Powderly State, 50 percent for Randolph A&M, 20 percent for Reuther, and 10 percent for Chavez Poly. If Claire’s estimates are correct, her chance of being admitted to at least one of her top five schools is between

A. 75% and 79.99%
B. 80% and 84.99%
C. 85% and 89.99%
D. 90% and 94.99%
E. 95% and 99.99%

P of not getting into school
.2*.3*.5*.2*.9 = 0.021
1-0.021 = .97 ~ 97%
IMO E
Manager
Joined: 04 Oct 2018
Posts: 159
Location: Viet Nam
Re: Claire estimates her chances of being admitted to her top five schools  [#permalink]

Show Tags

28 Feb 2019, 14:52
2
1
Bunuel wrote:
Claire estimates her chances of being admitted to her top five schools as follows: 80 percent for Debs U, 70 percent for Powderly State, 50 percent for Randolph A&M, 20 percent for Reuther, and 10 percent for Chavez Poly. If Claire’s estimates are correct, her chance of being admitted to at least one of her top five schools is between

A. 75% and 79.99%
B. 80% and 84.99%
C. 85% and 89.99%
D. 90% and 94.99%
E. 95% and 99.99%

80 percent for Debs U=> Fail Debs U = 20%
70 percent for Powderly State => Fail Powderly = 30%
50 percent for Randolph A&M => Fail Randolph = 50%
20 percent for Reuther => Fail Reu = 80%
10 percent for Chavez Poly => Fail Chavez = 90%

=> Chance of Fail all of 5 schools = 0.2*0.3*0.5*0.8*0.9 = 0.0216
=> Chance of getting at least 1 of 5 schools = 1 - 0.0216 = 0.9784 = 97.84%. Hence E
_________________
"It Always Seems Impossible Until It Is Done"
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: Claire estimates her chances of being admitted to her top five schools  [#permalink]

Show Tags

04 Mar 2019, 20:07
Bunuel wrote:
Claire estimates her chances of being admitted to her top five schools as follows: 80 percent for Debs U, 70 percent for Powderly State, 50 percent for Randolph A&M, 20 percent for Reuther, and 10 percent for Chavez Poly. If Claire’s estimates are correct, her chance of being admitted to at least one of her top five schools is between

A. 75% and 79.99%
B. 80% and 84.99%
C. 85% and 89.99%
D. 90% and 94.99%
E. 95% and 99.99%

We can use the formula:

P(being accepted to at least 1 school) = 1 - P(not being accepted to any schools)

P(not being accepted to any schools) = 0.2 x 0.3 x 0.5 x 0.8 x 0.9 = 0.0216

So the probability of being accepted to at least one school is 1 - 0.0216 = 0.9784.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
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.

Re: Claire estimates her chances of being admitted to her top five schools   [#permalink] 04 Mar 2019, 20:07
Display posts from previous: Sort by
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}