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

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Intern
Joined: 22 Aug 2011
Posts: 2

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Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell [#permalink]

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22 Aug 2011, 15:01
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Question Stats:

50% (00:00) correct 50% (03:23) wrong based on 5 sessions

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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?

OA:
[Reveal] Spoiler:
3/10

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Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1949

Kudos [?]: 2133 [1], given: 376

Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell [#permalink]

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22 Aug 2011, 15:20
1
KUDOS
Kumzstarr 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 immidietely. After jack picks his candy, renee will pick a piece of candy. what is the probability that Renee picks a Jellybean?

Jellybean=JB=3 Vs Non-Jellybean=NJB=7

JB*JB*JB
+
JB*NJB*JB
+
NJB*JB

Only favorable cases:
$$\frac{3}{10}*\frac{2}{9}*\frac{1}{8}+\frac{3}{10}*\frac{7}{9}*\frac{2}{8}+\frac{7}{10}*\frac{3}{9}$$
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Kudos [?]: 2133 [1], given: 376

Manager
Joined: 19 Jul 2011
Posts: 96

Kudos [?]: 83 [2], given: 4

Concentration: Finance, Economics
Schools: Duke '15
GPA: 3.9
Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell [#permalink]

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22 Aug 2011, 15:42
2
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1
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Jack picks Jelly bean first and second:
3/10*2/9*1/8 = 1/120
Jack picks jelly bean only first:
3/10*7/9*2/8 = 7/120
Jack picks no jelly bean:
7/10*3/9 = 7/30

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Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell [#permalink]

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07 Oct 2017, 00:26
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Re: Renne has a bag of candy. The bag has 1 candy bar, 2 lollipops, 3 jell   [#permalink] 07 Oct 2017, 00:26
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