BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Six cards numbered from 1 to 6 are placed in an empty bowl.

Expert replies
by mitzwillrockgmat » Mon May 24, 2010 11:36 am
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?

A. 1/6
B. 1/5
C. 1/3
D. 2/5
E. 2/3

the only ways to get sum 8 is if we pick

2 ,6 or 6 ,2
3, 5 or 5, 3
4, 4 or 4, 4

I want to know why we don't count 4, 4 twice? this is essentially a combination problem so why not total combinations 6 rather than 5?

favorable outcome will remain 2 either ways 3, 5 or 5,3.

Please explain :)
Join the discussion
Source: — Problem Solving |

by Patrick_GMATFix » Mon May 24, 2010 11:40 am
4,4 and 4,4 doesn't get counted as distinct outcomes because they are exactly the same (we're not picking two cards each numbered 4, but the same card). In each case, the same card is selected, put bag, and selected again.

This is different from {3,5} and {5,3}. In the latter scenario, the two events are different: a different card is picked first each time.

Hope that helps
-Patrick
Join the discussion

by jeffedwards » Mon May 24, 2010 12:32 pm
What is the OA? I got [spoiler]D- 2/5[/spoiler]

The way I went about doing this is as follows.

The person drawing could pick any number 2-6 inclusive (to add up to 8). Then I listed the possible combos assuming the numbers add up to 8. For each number there is only one other number that the person can choose.

2-6
3-5
4-4
5-3
6-2

Then I counted the number total sets and sets with a 5.... got [spoiler]2/5[/spoiler]
Join the discussion

by KKGMATTER » Mon May 24, 2010 8:44 pm
Please post the OA
Im getting 1/3 from 2/6
Join the discussion

by nxanand » Tue May 25, 2010 12:12 am
I got 2/5 (D)

no.of ways to get the sum of 8 = 5 : (2,6),(6,2),(3,5),(5,3),(4,4)

no.of ways that one card is 5 = 2 : (3,5),(5,3)

therefore, probability = 2/5
Join the discussion

by sanju09 » Tue May 25, 2010 12:15 am
Patrick_GMATFix wrote:4,4 and 4,4 doesn't get counted as distinct outcomes because they are exactly the same (we're not picking two cards each numbered 4, but the same card). In each case, the same card is selected, put bag, and selected again.

This is different from {3,5} and {5,3}. In the latter scenario, the two events are different: a different card is picked first each time.

Hope that helps
-Patrick
absolutely
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Join the discussion