Last visit was: 11 Dec 2024, 16:42 It is currently 11 Dec 2024, 16:42
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 11 Dec 2024
Posts: 97,815
Own Kudos:
685,147
 [2]
Given Kudos: 88,242
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,815
Kudos: 685,147
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
lacktutor
Joined: 25 Jul 2018
Last visit: 23 Oct 2023
Posts: 663
Own Kudos:
1,221
 [1]
Given Kudos: 69
Posts: 663
Kudos: 1,221
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
GMAT Club Legend
Joined: 18 Aug 2017
Last visit: 11 Dec 2024
Posts: 8,116
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,116
Kudos: 4,493
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
TheNightKing
Joined: 18 Dec 2017
Last visit: 20 Mar 2024
Posts: 1,154
Own Kudos:
Given Kudos: 421
Location: United States (KS)
GMAT 1: 600 Q46 V27
GMAT 1: 600 Q46 V27
Posts: 1,154
Kudos: 1,133
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd?

(A) 0
(B) 1/4
(C) 1/2
(D) 2/3
(E) 3/4

I got the answer wrong but think of it in this way. There are 4 possibilities once you pick any 2 numbers from 1 to 20 (ignore the repetition part) : product being even, even, odd, even. Only 1 out of 4 is favorable hence 1/4.
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,696
Own Kudos:
Given Kudos: 165
Expert reply
Posts: 3,696
Kudos: 18,288
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution


To find:
    • The probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd

Approach and Working Out:
    • The probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd = the probability that both are odd = \(\frac{10 * 10}{20 * 20} = \frac{100}{400} = \frac{1}{4}\)

Answer: B

avatar
kitipriyanka
Joined: 26 Jan 2016
Last visit: 25 Nov 2019
Posts: 100
Own Kudos:
Given Kudos: 61
Posts: 100
Kudos: 153
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Quote:
What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd?

For product to be odd, both chosen integers will be odd
There are 10 odd nos b/w 1 to 20

Probability of 1st no to be odd = 10C1/20C1=1/2
Probability of 2nd no to be odd = 10C1/20C1=1/2

Therefore, probability both nos are odd=1/2 * 1/2= 1/4
Hence B
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 11 Dec 2024
Posts: 19,854
Own Kudos:
Given Kudos: 288
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,854
Kudos: 24,259
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the probability that the product of two integers (not necessarily different integers) randomly selected from the numbers 1 through 20, inclusive, is odd?

(A) 0
(B) 1/4
(C) 1/2
(D) 2/3
(E) 3/4

Since odd x odd = odd, we must select two odd integers in order to have an odd product. Therefore,

P(an odd product) = P(selecting 2 odd integers) = 10/20 x 10/20 = 1/2 x 1/2 = 1/4.

Answer: B
Moderator:
Math Expert
97815 posts