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

 It is currently 22 Oct 2019, 19:23

### 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

# In a certain factory, the production line which produces the bags has

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8029
GMAT 1: 760 Q51 V42
GPA: 3.82
In a certain factory, the production line which produces the bags has  [#permalink]

### Show Tags

05 Jan 2017, 05:51
00:00

Difficulty:

25% (medium)

Question Stats:

67% (01:07) correct 33% (01:33) wrong based on 98 sessions

### HideShow timer Statistics

In a certain factory, the production line which produces the bags has the probability that a bag selected at random is defective is 0.02. If 6 bags are selected at random, what is the probability that at least one bag is defective?

A. $$0.02^6$$

B. $$(0.02)(0.98)^6$$

C. $$1-(0.02)^6$$

D. $$0.98^6$$

E. $$1-(0.98)^6$$

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 24 Oct 2016 Posts: 251 Location: India Concentration: Finance, International Business Schools: IIMB GMAT 1: 550 Q42 V28 GPA: 3.96 WE: Human Resources (Retail Banking) Re: In a certain factory, the production line which produces the bags has [#permalink] ### Show Tags 05 Jan 2017, 09:01 the probability of not getting A DEFECTIVE BAG is .98 so probability of getting defective bag equal to 1-(.98)^6 so answer is E Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4774 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: In a certain factory, the production line which produces the bags has [#permalink] ### Show Tags 05 Jan 2017, 09:28 MathRevolution wrote: In a certain factory, the production line which produces the bags has the probability that a bag selected at random is defective is 0.02. If 6 bags are selected at random, what is the probability that at least one bag is defective? A. $$0.02^6$$ B. $$(0.02)(0.98)^6$$ C. $$1-(0.02)^6$$ D. $$0.98^6$$ E. $$1-(0.98)^6$$ p(d) = 0.02 p(g) = 0.98 Probability of getting 1 defective = 1 - Probability of selecting all good bags. Probability of getting 1 defective = $$1 - P(g)^6$$ Probability of getting 1 defective = $$1 - (0.98)^6$$ Hence, the answer will be (E) $$1-(0.98)^6$$ _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 8129 Location: United States (CA) Re: In a certain factory, the production line which produces the bags has [#permalink] ### Show Tags 06 Jan 2017, 11:07 MathRevolution wrote: In a certain factory, the production line which produces the bags has the probability that a bag selected at random is defective is 0.02. If 6 bags are selected at random, what is the probability that at least one bag is defective? A. $$0.02^6$$ B. $$(0.02)(0.98)^6$$ C. $$1-(0.02)^6$$ D. $$0.98^6$$ E. $$1-(0.98)^6$$ We are given that the probability that a selected bag is defective is 0.02, so we can determine that the probability of a non-defective bag is 1 - 0.02 = 0.98. We need to determine the probability that when 6 bags are selected at least one bag is defective. We know the following: 1 = P(at least one defective bag is selected) + P(no defective bags are selected) Thus, P(at least one defective bag is selected) = 1 - P(no defective bags are selected) Therefore, we need to determine P(no defective bags are among the 6 selected bags). P(no defective bags are among the 6 selected bags) = 0.98^6 Thus, P(at least one defective bag is among the 6 selected bags) = 1 - 0.98^6 Answer: E _________________ # 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. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8029 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: In a certain factory, the production line which produces the bags has [#permalink] ### Show Tags 08 Jan 2017, 18:11 ==> probability that at least one bag is defective=1-probability that all bags are not defective=$$1-(1-0.02)^6$$. Hence, the answer is E. Answer: E _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Intern
Joined: 08 Feb 2015
Posts: 13
GMAT 1: 650 Q46 V34
GMAT 2: 620 Q45 V30
GMAT 3: 700 Q45 V40
Re: In a certain factory, the production line which produces the bags has  [#permalink]

### Show Tags

13 Jan 2017, 20:56
Probability of at least one bag is defective = 1 - P(0 defects)
P(a bag is defective) = 0.02
P(a bag is not defective) = 1-0.02 = 0.98

P(at least one bag is defective from a random selection of 6 bags) =1- 0C6*((0.02)^0)*((0.98)^6)
= 1-(0.98)^6
Non-Human User
Joined: 09 Sep 2013
Posts: 13412
Re: In a certain factory, the production line which produces the bags has  [#permalink]

### Show Tags

28 Jan 2018, 12:44
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.
_________________
Re: In a certain factory, the production line which produces the bags has   [#permalink] 28 Jan 2018, 12:44
Display posts from previous: Sort by