• NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    NEW! FREE Beat The GMAT Quizzes
    Hundreds of Questions Highly Detailed Reporting Expert Explanations TAKE A FREE GMAT QUIZ
  • 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

A basketball team’s current roster consists of g guards an

This topic has 3 expert replies and 0 member replies

A basketball team’s current roster consists of g guards an

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



Source: Veritas Prep

A basketball team’s current roster consists of g guards and f forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

A. \(\frac{g}{g+f}\)

B. \(\frac{g+2}{g+f}\)

C. \(\frac{g+2}{g+f+3}\)

D. \(\frac{g+2}{g+f+1}\)

E. \(\frac{g+2}{g+f+2}\)

The OA is D

  • +1 Upvote Post
  • Quote
  • Flag
Post
BTGmoderatorLU wrote:
Source: Veritas Prep

A basketball team’s current roster consists of g guards and f forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

A. \(\frac{g}{g+f}\)

B. \(\frac{g+2}{g+f}\)

C. \(\frac{g+2}{g+f+3}\)

D. \(\frac{g+2}{g+f+1}\)

E. \(\frac{g+2}{g+f+2}\)

The OA is D
The number of guards now = g + 2 and the number of forwards now = f - 1

Total number of players = g + 2 + f - 1 = g + f +1

The probability that a player chosen at random is a guard = number of guards / total number of players = (g + 2) / (g + f +1)

The correct answer: D

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Classes Birmingham | GMAT Prep Courses Singapore | LSAT Prep Courses Chicago | Manhattan SAT Prep Classes | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag
Post
BTGmoderatorLU wrote:
Source: Veritas Prep

A basketball team’s current roster consists of g guards and f forwards. If 2 guards join and 1 forward leaves, what is the probability that a player chosen at random is a guard?

A. \(\frac{g}{g+f}\)

B. \(\frac{g+2}{g+f}\)

C. \(\frac{g+2}{g+f+3}\)

D. \(\frac{g+2}{g+f+1}\)

E. \(\frac{g+2}{g+f+2}\)

The OA is D
If 2 guards join and 1 forward leaves, the new number of guards is (g + 2), and the new number of forwards is (f - 1); thus, the new total is (g + 2 + f - 1). The probability that a guard is chosen is:

(g + 2)/(g + 2 + f - 1) = (g + 2)/(g + 1 + f)

Answer: D

_________________
Scott Woodbury-Stewart Founder and CEO

  • +1 Upvote Post
  • Quote
  • Flag

GMAT/MBA Expert

Post
Hi All,

We're told that a basketball team’s current roster consists of G guards and F forwards - and 2 guards join and 1 forward leaves. We're asked for the probability that a player chosen at random is a guard. This question can be approached in a couple of different ways, including by TESTing VALUES.

IF... G=2 and F=3, then after 2 guards JOIN and 1 forward LEAVES, we have....
4 total guards and 2 total forwards.
The probability of randomly choosing a guard is 4/6.

Thus, we're looking for an answer that equals 4/6 when G=2 and F=3. There's only one answer that matches...

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

  • +1 Upvote Post
  • Quote
  • Flag
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep

Top First Responders*

1 GMATGuruNY 56 first replies
2 Brent@GMATPrepNow 43 first replies
3 Jay@ManhattanReview 43 first replies
4 Ian Stewart 31 first replies
5 ceilidh.erickson 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description Scott@TargetTestPrep

Target Test Prep

217 posts
2 image description fskilnik@GMATH

GMATH Teacher

124 posts
3 image description Max@Math Revolution

Math Revolution

89 posts
4 image description GMATGuruNY

The Princeton Review Teacher

82 posts
5 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

66 posts
See More Top Beat The GMAT Experts