QUESTION 1 (NOV.24TH)

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 245
Joined: Thu Aug 16, 2007 12:41 pm

QUESTION 1 (NOV.24TH)

by bacali » Mon Nov 24, 2008 11:45 am
Q5:

From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?
A. 1/10
B. 4/9
C. 1/2
D. 3/5
E. 2/3


OA: D
Last edited by bacali on Tue Nov 25, 2008 7:38 am, edited 1 time in total.
Source: — Problem Solving |

User avatar
Community Manager
Posts: 1049
Joined: Sun Apr 06, 2008 5:15 pm
Location: Pittsburgh, PA
Thanked: 113 times
Followed by:27 members
GMAT Score:710

by dmateer25 » Mon Nov 24, 2008 3:35 pm
Ways to choose 2 girls 3C2 = 3
Ways to choose 2 boys 3C2 = 3

Total number of ways to select 4 children = 6C4 = 15

(3*3)/15
=9/15
=3/5

Master | Next Rank: 500 Posts
Posts: 105
Joined: Sat May 17, 2008 8:12 pm
Thanked: 6 times

by gmataug08 » Mon Nov 24, 2008 6:59 pm
the possibility of selecting 4 members has three options

3G+ 1B, 2G+2B , 3B+1G

to find the probabilty of 2G+2B = 1 - [(3G+1B) + (3B+1G)]

3G+1B = 3/6 x 2/5 x 1/4 x 3/3 = 1/20

3B+1G = 1/20

hence, 2G+2B = 1- (2/20) => 1- 1/10 => 9/10

Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pm
Thanked: 331 times
Followed by:11 members

by cramya » Mon Nov 24, 2008 7:02 pm
One more vote for 3/5 similar to dmatter's approach!

Junior | Next Rank: 30 Posts
Posts: 11
Joined: Sun Nov 09, 2008 10:23 pm
Location: Melbourne
Thanked: 1 times

by jymloke » Mon Nov 24, 2008 8:14 pm
Ditto with 3/5.

(3C2 * 3C2 ) / (6C4)

User avatar
Legendary Member
Posts: 2134
Joined: Mon Oct 20, 2008 11:26 pm
Thanked: 237 times
Followed by:25 members
GMAT Score:730

by logitech » Mon Nov 24, 2008 9:44 pm
Hey the answer supposed to be 53 :lol:
LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"

Legendary Member
Posts: 891
Joined: Sat Aug 16, 2008 4:21 am
Thanked: 27 times
Followed by:1 members
GMAT Score:660(

by 4meonly » Tue Nov 25, 2008 5:42 am
logitech wrote:Hey the answer supposed to be 53 :lol:
nice probability 53 8) :-)

Master | Next Rank: 500 Posts
Posts: 245
Joined: Thu Aug 16, 2007 12:41 pm

by bacali » Tue Nov 25, 2008 7:39 am
Changed it. I copied a lot over and it really messed up in the process.