If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that...

Expert replies

Previous Topic Next Topic

BTGmoderatorLU: Moderator; Posts: 2547; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Thu Jan 14, 2021 10:07 am

Timer

00:00

Answers

Stats

Difficulty—

Source: GMAT Prep

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

A. 0
B. 1/200
C. 1/2
D. 199/200
E. 1

The OA is D

Like this post

Source: Beat The GMAT — Problem Solving | Thu Jan 14, 2021 10:07 am

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8144; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that..

by Scott@TargetTestPrep » Wed Jan 20, 2021 2:49 pm

BTGmoderatorLU wrote: ↑
Thu Jan 14, 2021 10:07 am
Source: GMAT Prep

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

A. 0
B. 1/200
C. 1/2
D. 199/200
E. 1

The OA is D

Solution:

The probability of not winning is (3,000 - 15) / 3,000 = 2,985 / 3,000 = 597 / 600 = 199 / 200.

Alternate solution:

The probability of winning is 15/3,000 = 1/200; thus, the probability of not winning is 1 - 1/200 = 199/200.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that..

by Brent@GMATPrepNow » Wed Jan 20, 2021 4:04 pm

BTGmoderatorLU wrote: ↑
Thu Jan 14, 2021 10:07 am
Source: GMAT Prep

If a person purchases 15 of the 3,000 tickets sold in a raffle that awards one prize, what is the probability that this person will not win?

A. 0
B. 1/200
C. 1/2
D. 199/200
E. 1

The OA is D

Let's use the complement: P(Event A happening) = 1 - P(Event A not happening)

Given: P(person wins) [m]= [fraction]15/3000[/fraction][/m]

So, P(person does NOT win) [m]= 1 - [fraction]15/3000[/fraction][/m]

Simplify to get: P(person does NOT win) [m]= 1 - [fraction]1/200[/fraction][/m]

Rewrite with common denominator to get: P(person does NOT win) [m]= [fraction]200/200[/fraction] - [fraction]1/200[/fraction] = [fraction]199/200[/fraction][/m]

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review