James and Logan are taking batting practice. If their

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AAPL: Moderator; Posts: 2749; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Mon Aug 12, 2019 4:17 am

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Princeton Review

James and Logan are taking batting practice. If their individual probabilities of hitting a homerun are $x$ and $y$, respectively, then what is the probability that James will not hit a homerun but Logan will?

A. $x – xy$
B. $x – y^2$
C. $y – xy$
D. $\frac{y}{x}$
E. $\frac{1}{x} - y$

OA C

Source: Beat The GMAT — Problem Solving | Mon Aug 12, 2019 4:17 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Mon Aug 12, 2019 5:56 am

AAPL wrote:Princeton Review

James and Logan are taking batting practice. If their individual probabilities of hitting a homerun are $x$ and $y$, respectively, then what is the probability that James will not hit a homerun but Logan will?

A. $x – xy$
B. $x – y^2$
C. $y – xy$
D. $\frac{y}{x}$
E. $\frac{1}{x} - y$

OA C

If P(James hits home run) = x, then P(James does NOT hit home run) = 1-x
Given: P(Logan hits home run) = y

So, P(James will not hit a home run AND Logan hits a home run) = P(James will not hit a home run) X P(Logan hits a home run)
= (1-x) X (y)
= y - yx

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Aug 14, 2019 6:56 pm

AAPL wrote:Princeton Review

James and Logan are taking batting practice. If their individual probabilities of hitting a homerun are $x$ and $y$, respectively, then what is the probability that James will not hit a homerun but Logan will?

A. $x – xy$
B. $x – y^2$
C. $y – xy$
D. $\frac{y}{x}$
E. $\frac{1}{x} - y$

OA C

The probability that James will not hit a homerun but Logan will is (1 - x)(y) = y - yx.

Answer: C

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