GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 14 Oct 2019, 03:40

### 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

# A jar contains 10 red marbles and 6 black marbles. If three marbles ar

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58312
A jar contains 10 red marbles and 6 black marbles. If three marbles ar  [#permalink]

### Show Tags

11 Oct 2019, 02:20
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:51) correct 35% (02:53) wrong based on 20 sessions

### HideShow timer Statistics

A jar contains 10 red marbles and 6 black marbles. If three marbles are pulled from the jar one after another without replacing them back into the jar, what is the probability there will be at least one red marble among them?

A . 1/28

B. 15/128

C. 15/56

D. 113/128

E. 27/28

_________________
Senior Manager
Joined: 29 Jun 2019
Posts: 404
Re: A jar contains 10 red marbles and 6 black marbles. If three marbles ar  [#permalink]

### Show Tags

11 Oct 2019, 03:23
1
1
1-(6/16 × 5/15 × 4/14)=1-1/28= 27/28
Option E

Posted from my mobile device
_________________
Always waiting
Director
Joined: 20 Jul 2017
Posts: 844
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: A jar contains 10 red marbles and 6 black marbles. If three marbles ar  [#permalink]

### Show Tags

12 Oct 2019, 00:32
Bunuel wrote:
A jar contains 10 red marbles and 6 black marbles. If three marbles are pulled from the jar one after another without replacing them back into the jar, what is the probability there will be at least one red marble among them?

A . 1/28

B. 15/128

C. 15/56

D. 113/128

E. 27/28

Probability of getting at least 1 red marble = 1 - Probability of getting 0 red marbles (or all 3 black marbles)
= $$1 - \frac{6}{16}*\frac{5}{15}*\frac{4}{14}$$
= $$1 - \frac{1}{28}$$
= $$\frac{27}{28}$$

IMO Option E
_________________
Pls Hit Kudos if you like the solution
Re: A jar contains 10 red marbles and 6 black marbles. If three marbles ar   [#permalink] 12 Oct 2019, 00:32
Display posts from previous: Sort by

# A jar contains 10 red marbles and 6 black marbles. If three marbles ar

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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