Three archers each have an equal chance of hitting a target, and if on : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 08:37

# LIVE NOW:

How to Get Off the MBA Waitlist: YouTube Live with Personal MBA Coach  |  Click Here to Join the Session

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Three archers each have an equal chance of hitting a target, and if on

Author Message
TAGS:

### Hide Tags

Director
Joined: 07 Jun 2004
Posts: 612
Location: PA
Followers: 5

Kudos [?]: 708 [0], given: 22

Three archers each have an equal chance of hitting a target, and if on [#permalink]

### Show Tags

08 Nov 2010, 02:51
00:00

Difficulty:

25% (medium)

Question Stats:

68% (01:51) correct 32% (00:56) wrong based on 25 sessions

### HideShow timer Statistics

Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?

(A) 1/27
(B) 16/81
(C) 8/27
(D) 19/27
(E) 26/27
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Math Expert
Joined: 02 Sep 2009
Posts: 36625
Followers: 7106

Kudos [?]: 93646 [1] , given: 10583

Re: Three archers each have an equal chance of hitting a target, and if on [#permalink]

### Show Tags

08 Nov 2010, 03:14
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
rxs0005 wrote:
Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?

(A) 1/27
(B) 16/81
(C) 8/27
(D) 19/27
(E) 26/27

Let the probability of an archer hitting a target be $$x$$. Then the probability of two hitting the target will be $$P=x*x=\frac{4}{9}$$ --> $$x=\frac{2}{3}$$, so the probability of an archer missing the target will be $$P=1-\frac{2}{3}=\frac{1}{3}$$.

The probability of all three men missing the target will be $$P=(\frac{1}{3})^3=\frac{1}{27}$$.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13542
Followers: 578

Kudos [?]: 163 [0], given: 0

Re: Three archers each have an equal chance of hitting a target, and if on [#permalink]

### Show Tags

30 Aug 2016, 17:57
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: Three archers each have an equal chance of hitting a target, and if on   [#permalink] 30 Aug 2016, 17:57
Similar topics Replies Last post
Similar
Topics:
13 A triangle with three equal sides is inscribed inside a 7 02 Oct 2013, 01:13
10 Raj played three rounds of a game of chance. In each round 5 15 Nov 2012, 22:02
9 There are three vessels of equal capacity .Vessel A contains Milk and 12 10 Oct 2011, 03:09
7 A rectangular steel container has three equal dimensions of 4 06 Dec 2010, 01:58
7 A man can hit a target once in 4 shots 10 07 Nov 2010, 23:57
Display posts from previous: Sort by