There are 10 women and 3 men in Room A. One person is picked

Oldest

Best Reply

Author

Message

TAGS:

Intern

Status: Desperate to breach the 700 barrier

Joined: 24 Jun 2010

Posts: 23

Followers: 0

Kudos [?]: 1 [0], given: 2

There are 10 women and 3 men in Room A. One person is picked [#permalink]

12 Aug 2010, 04:52

00:00

Question Stats:

0% (00:00) correct

100% (00:33) wrong

based on 1 sessions

Intern

Affiliations: APICS

Joined: 09 Jun 2010

Posts: 14

Followers: 0

Kudos [?]: 2 [0], given: 2

Re: Probability Question [#permalink]

13 Aug 2010, 01:44

Ans: Probability of 49/117

The way I approached it is (probability of Woman from A * probability of woman from B) +( probability of man from A * probability of woman from B)

so its 10/13 * 4/9 + 3/13+3/9

Solving we get 49/117.

Right?

Give a kudos if you like

Vivek

Director

Status: Apply - Last Chance

Affiliations: IIT, Purdue, PhD, TauBetaPi

Joined: 18 Jul 2010

Posts: 694

Schools: Wharton, Sloan, Chicago, Haas

WE 1: 8 years in Oil&Gas

Followers: 13

Kudos [?]: 50 [0], given: 15

Re: Probability Question [#permalink]

14 Aug 2010, 02:02

What is the OA?
If M picked from room A, room B probability of picking W is 4/9
If W picked from room A, room B probability of picking W is 3/9

Conditional Probability
P(W in B and M picked in A) = P(W given M picked in A)*P(M picked in A) = 10/13*4/9
P(W in B and W picked in A) = P(W given W picked in A)*P(W picked in A) = 3/13*3/9

Sum 49/117
_________________

Consider kudos, they are good for health

Manager

Joined: 25 Oct 2012

Posts: 222

Concentration: Finance, Entrepreneurship

GPA: 3.54

Followers: 1

Kudos [?]: 41 [0], given: 68

Re: Probability Question [#permalink]

05 Feb 2013, 17:29

HarishV wrote:

There are 10 women and 3 men in Room A. One person is picked at random from Room A and moved to room B, where there are already 3 women and 5 men. If a single person is then used to be picked from Room B, what is the probability that a woman would be picked.

{Please try solving the problem using the Conditional Probability formula}....Would be very helpful to know how to determine the probability of 2 events when occurring simultaneously}

Using a tree diagram ( see the attachement)

Hence,

WW = \frac{10}{13}*\frac{4}{9}=\frac{40}{117}

MW = \frac{3}{13}*\frac{3}{9}=\frac{9}{117}

Finally, the probability that a woman would be picked is P= \frac{40}{117} + \frac{9}{117}=\frac{49}{117}

Attachments

Prob.png [ 9.74 KiB | Viewed 485 times ]

_________________

KUDOS is the good manner to help the entire community.

Re: Probability Question [#permalink] 05 Feb 2013, 17:29

	Similar topics	Author	Replies	Last post
Similar Topics:	If 3 people are randomly selected from 5 men and 3 women,	rahul	1	14 Dec 2004, 23:49
	Suppose there are 198 men and 2 women in a room. That is,	schumacher	7	03 Jan 2005, 14:25
	How many more men than women are there in the room ST 1there	mand-y	2	23 Nov 2005, 14:43
	How many more men than women are in the room?	el1981	5	20 Sep 2007, 10:37
	A committee is composed of w women and m men. If 3 women and	Walkabout	1	20 Dec 2012, 06:30

There are 10 women and 3 men in Room A. One person is picked

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

There are 10 women and 3 men in Room A. One person is picked

There are 10 women and 3 men in Room A. One person is picked

Main navigation

GMAT Resources

Partners

MBA Resources