GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 27 Feb 2021, 08:57
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
Nine cards numbered from 1 to 9 are placed in an empty bowl. Four card
3 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 72166
CAT Tests Top Member of the Month
Nine cards numbered from 1 to 9 are placed in an empty bowl. Four card [#permalink] New post  27 Jan 2021, 13:06
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

70% (01:58) correct 30% (02:44) wrong based on 23 sessions

Hide Show timer Statistics

Nine cards numbered from 1 to 9 are placed in an empty bowl. Four cards are drawn from the bowl one-by-one without replacement to form a four-digit number (first card gives the thousands digit, second card gives the hundreds digit, third card gives the tens digit and fourth card gives the units digit). What it the probability that the four-digit number is even?

A. 1/9
B. 2/9
C. 3/9
D. 4/9
E. 5/9

Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
V
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 11 Sep 2015
Posts: 5392
Location: Canada
Top Member of the Month
Re: Nine cards numbered from 1 to 9 are placed in an empty bowl. Four card [#permalink] New post  27 Jan 2021, 13:30
1
Kudos
1
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
Nine cards numbered from 1 to 9 are placed in an empty bowl. Four cards are drawn from the bowl one-by-one without replacement to form a four-digit number (first card gives the thousands digit, second card gives the hundreds digit, third card gives the tens digit and fourth card gives the units digit). What it the probability that the four-digit number is even?

A. 1/9
B. 2/9
C. 3/9
D. 4/9
E. 5/9


In order for the four-digit number to be even, the last (4th) digit must be even

P(4th the digit is even) = P(3rd the digit is even) = P(2nd the digit is even) = P(1st the digit is even) = 4/9 (since 4 of the nine digits are even)

Answer: D
_________________
Image
Signature Read More
User avatar
G
TestPrepUnlimited
GMAT Tutor
Joined: 16 Sep 2014
Posts: 900
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Re: Nine cards numbered from 1 to 9 are placed in an empty bowl. Four card [#permalink] New post  03 Feb 2021, 07:33
Expert Reply
Bunuel wrote:
Nine cards numbered from 1 to 9 are placed in an empty bowl. Four cards are drawn from the bowl one-by-one without replacement to form a four-digit number (first card gives the thousands digit, second card gives the hundreds digit, third card gives the tens digit and fourth card gives the units digit). What it the probability that the four-digit number is even?

A. 1/9
B. 2/9
C. 3/9
D. 4/9
E. 5/9



We only need to look at the 4th digit (last card) to judge if the number is even. Although the cards are drawn one by one this doesn't affect the distribution of each card in the grand scheme, the fourth card will still have a 1/9 chance of each digit. Thus it is a 4/9 chance of it being even.

Ans: D
_________________
Source: We are an NYC based, in-person and online GMAT tutoring and prep company. We are the only GMAT provider in the world to guarantee specific GMAT scores with our flat-fee tutoring packages, or to publish student score increase rates. Our typical new-to-GMAT student score increase rate is 3-9 points per tutoring hour, the fastest in the world. Feel free to reach out!
Signature Read More
GMAT Club Bot
gmatclubot
[#permalink]
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
9498 posts
Bunuel
Math Expert
72166 posts
VeritasKarishma
Veritas Prep GMAT Instructor
11464 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2411 posts
generis
Senior SC Moderator
4556 posts
Feedback

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions