Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 22 Jul 2019, 22:15

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

Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56359
Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell  [#permalink]

Show Tags

New post 17 Jun 2019, 01:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

58% (02:39) correct 42% (02:46) wrong based on 19 sessions

HideShow timer Statistics


Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jellybeans and 4 truffles. Jack takes one piece of candy out of the bag at random. If he picks a jellybean, he chooses one additional piece of candy and then stops. If he picks any non-jellybean candy, he stops picking immediately. After jack picks his candy, renee will pick a piece of candy. what is the probability that Renee picks a Jellybean?

A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 7/10

_________________
Director
Director
avatar
G
Joined: 20 Jul 2017
Posts: 566
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell  [#permalink]

Show Tags

New post 17 Jun 2019, 02:37
Bunuel wrote:
Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jellybeans and 4 truffles. Jack takes one piece of candy out of the bag at random. If he picks a jellybean, he chooses one additional piece of candy and then stops. If he picks any non-jellybean candy, he stops picking immediately. After jack picks his candy, renee will pick a piece of candy. what is the probability that Renee picks a Jellybean?

A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 7/10


2 cases are possible:
Case 1: Jack picks a jellybean(JB) and then picks another JB or a non JB and stops
Case 2: Jack picks a non JB and stops

Probability of Renee picks a JB = Prob(Case 1)*Prob(Renee picking a JB) + Prob(Case 2)*Prob(Renee picking a JB)
= 3/10*2/9*1/8 (Jack picking JB & JB & Renee picking a JB) + 3/10*7/9*2/8 (Jack picking a JB & Non JB & Renee picking a JB) + 7/10*3/9 (Jack picking a JB & Renee picking a JB)
= 1/120 + 7/120 + 7/30
= 8/120 + 28/120
= 36/120
= 3/10

Pls Hit Kudos if you like the solution
Senior Manager
Senior Manager
avatar
G
Joined: 22 Nov 2018
Posts: 491
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 660 Q48 V33
GMAT ToolKit User Premium Member
Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell  [#permalink]

Show Tags

New post 17 Jun 2019, 03:22
1
Bunuel wrote:
Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jellybeans and 4 truffles. Jack takes one piece of candy out of the bag at random. If he picks a jellybean, he chooses one additional piece of candy and then stops. If he picks any non-jellybean candy, he stops picking immediately. After jack picks his candy, renee will pick a piece of candy. what is the probability that Renee picks a Jellybean?

A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 7/10


Three Possibility exists

I) J picks a non jelly so prob = 7/10*3/9 = 7/30

II) J picks a Jelly in First go and other in Second go : 3/10*7/9*2/8= 7/120

III) J Picks Jelly in first and second go : 3/10*2/9*1/8 = 1/120

So Renne picking a jelly is 28/120+1/120+7/120 = 36/120; 3/10 IMO C
_________________
Give +1 kudos if this answer helps..!!
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4269
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell  [#permalink]

Show Tags

New post 17 Jun 2019, 11:37
1
Bunuel wrote:
Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jellybeans and 4 truffles. Jack takes one piece of candy out of the bag at random. If he picks a jellybean, he chooses one additional piece of candy and then stops. If he picks any non-jellybean candy, he stops picking immediately. After jack picks his candy, renee will pick a piece of candy. what is the probability that Renee picks a Jellybean?

A. 1/10
B. 1/5
C. 3/10
D. 2/5
E. 7/10


understanding the wording took me >2 mins :x IMO its a very confusing question ; main objective of question is to find probability that Renee picks a Jellybean in all possible cases with Jack being part in all draws...

so we have three cases;
total candies = 10
case 1; Jack takes 1 jelly bean and 1 additional non JB and then Renee takes JB ; 3/10 * 7/9*2/8 ; 7/120
case 2: jack takes 2 jelly bean and 1 jelly bean by Reenee; 3/10 * 2/9 * 1/8 = 1/20
case 3; Jack takes 1 non JB and 1 JB by Reenee; 7/10 * 3/9= 7/30

total P = 7/120+1/20+7/30 ; 36/120 ; 3/10
IMO C
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
GMAT Club Bot
Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell   [#permalink] 17 Jun 2019, 11:37
Display posts from previous: Sort by

Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell

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





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