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

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

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

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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

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

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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

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

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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

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

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