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

 It is currently 19 Jun 2019, 00:03

### 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

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

# Probability question

Author Message
Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36

### Show Tags

07 Apr 2018, 13:56
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.
Intern
Joined: 16 Mar 2018
Posts: 46
Location: United Kingdom
GMAT 1: 650 Q45 V35

### Show Tags

07 Apr 2018, 14:51
Out of 10 fruits 6 are non rotten.

For fruits to be drawn 3 times,
Out of 6 fruits is same as
Drawing out of 6 fruits first time

So Prob= 6/10 = 3/5

Drawing out of remaining 5 fruits second time

So prob = 5/9

Drawing third time out of remaining 8fruits

So Prob = 4/8=1/2

To get Total Probability we multiply

3/5 x 5/9 x 1/2 = 1/6

Sent from my iPhone using GMAT Club Forum
Intern
Joined: 07 Sep 2016
Posts: 11
Location: India
Concentration: Technology, Finance
GMAT 1: 700 Q49 V36

### Show Tags

08 Apr 2018, 00:52
What I think is:

According to the language of the question, 3 fruits are drawn simultaneously from the basket and are not drawn one by one.

Hence, P(none of the fruits drawn is rotten) = P (drawing a non-rotten fruit)= 6C3/10C3 = 1/6
Math Expert
Joined: 02 Sep 2009
Posts: 55681

### Show Tags

08 Apr 2018, 11:48
nitinkarnwal wrote:
A basket contains 10 fruits of which 4 are rotten. If 3 fruits are drawn from the basket, find the probability that none of the fruits drawn is rotten.

You've posted it once here: https://gmatclub.com/forum/a-basket-con ... 62890.html

Please do not double-post. Also, when posting a question please provide options along with them!
_________________
Re: Probability question   [#permalink] 08 Apr 2018, 11:48
Display posts from previous: Sort by