NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 17:00 It is currently 24 Apr 2024, 17:00
Decision Tracker
My Rewards
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

If the probability that Mike will miss at least one of the ten jobs as

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618811 [2]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
If the probability that Mike will miss at least one of the ten jobs as [#permalink] New post   16 Apr 2019, 01:21
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

83% (00:36) correct 17% (01:26) wrong based on 98 sessions
Hide Show timer Statistics
If the probability that Mike will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?

(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29907 [5]
Given Kudos: 799
Location: Canada
Send PM
Re: If the probability that Mike will miss at least one of the ten jobs as [#permalink] New post   05 Mar 2020, 09:08
4
Kudos
1
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
If the probability that Mike will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?

(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1


When it comes to probability questions involving at least, it's best to consider using the complement.
That is, P(Event A happening) = 1 - P(Event A not happening)

So, here we get: P(missing AT LEAST one job) = 1 - P(not missing AT LEAST one job)

What does it mean to not miss at least one job?
It means missing ZERO jobs.
Or we can say that it means doing ALL 10 jobs.

So, we can write: P(missing AT LEAST one job) = 1 - P(doing all 10 jobs )
Substitute to get: 0.55 = 1 - P(doing all 10 jobs )

Solve to get: P(doing all 10 jobs ) = 0.45

Answer: B

Cheers,
Brent
General Discussion
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4096 [0]
Given Kudos: 242
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: If the probability that Mike will miss at least one of the ten jobs as [#permalink] New post   16 Apr 2019, 01:26
Bunuel wrote:
If the probability that Mike will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?

(A) 0.1
(B) 0.45
(C) 0.55
(D) 0.85
(E) 1


P of missing = 0.55
doing job = 1-0.55
IMO B
0.45
User avatar
L
CrackverbalGMAT
GMAT Club Legend
GMAT Club Legend
Joined: 03 Oct 2013
Affiliations: CrackVerbal
Posts: 4946
Own Kudos [?]: 7626 [0]
Given Kudos: 215
Location: India
Send PM
Re: If the probability that Mike will miss at least one of the ten jobs as [#permalink] New post   06 Mar 2020, 01:36
This problem can be solved very easily if you apply the principle of Probability(At least one).
Probability (At least one) = 1 – Probability (None).

Therefore, Probability (Mike will miss at least one job) = 1 – Probability (Mike misses none of them).

Re-organising the equation, we have,
Probability (Mike does all ten jobs) = 1 – Probability (Mike will miss at least one job) {note that missing none of them is equivalent to doing all the ten jobs}

Substituting the value of the probability given in the question, we have,
Probability (Mike does all ten jobs) = 1 – 0.55 = 0.45.

The correct answer option is B.

Hope that helps!
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32655
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If the probability that Mike will miss at least one of the ten jobs as [#permalink] New post   15 Dec 2023, 02:11
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.
GMAT Club Bot
gmatclubot
Re: If the probability that Mike will miss at least one of the ten jobs as [#permalink]
15 Dec 2023, 02:11
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions