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# Joe reaches into a bag containing 5 red,

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Kudos [?]: 1115 [0], given: 5134

Joe reaches into a bag containing 5 red, [#permalink]  20 Oct 2017, 16:07
Expert's post
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Question Stats:

90% (01:03) correct 9% (01:25) wrong based on 65 sessions

Joe reaches into a bag containing 5 red, 4 blue, and 8 orange jellybeans, and randomly selects three jellybeans.

 Quantity A Quantity B The probability of selecting a red, then a blue, then an orange jellybean The probability of selecting a red, then another red, then an orange jellybean

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 343 [1] , given: 66

Re: Joe reaches into a bag containing 5 red, [#permalink]  21 Oct 2017, 07:00
1
KUDOS
I assumed that the jellybeans are extracted and then they are not put back in the bag.

Quantity A is $$\frac{5}{17}\frac{4}{16}\frac{8}{15}$$, while quantity B is $$\frac{5}{17}\frac{4}{16}\frac{8}{15}$$.

Intern
Joined: 06 Jul 2018
Posts: 32
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Kudos [?]: 1 [0], given: 3

Re: Joe reaches into a bag containing 5 red, [#permalink]  10 Oct 2018, 21:56
Manager
Joined: 22 Jul 2018
Posts: 79
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Kudos [?]: 9 [0], given: 42

Re: Joe reaches into a bag containing 5 red, [#permalink]  18 Dec 2018, 08:03
5/17 * 4/16 * 8/15 hence C
Manager
Joined: 22 Feb 2018
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Kudos [?]: 94 [1] , given: 21

Re: Joe reaches into a bag containing 5 red, [#permalink]  01 Jan 2019, 15:34
1
KUDOS
5 red, 4 blue and 8 orange
Selects three randomly

A: P(r and b and o) = 5/17 * 4/16 * 8/15
In first picking, there are 5 red out of 17, thus the probability of taking a red one is 5/17
In second picking, there are 16 ones remaining, out of which there are 4 blue ones, thus the probability of taking a blue one is 4/16
In third Picking, there are 15 ones remaining, out of which there are 8 orange ones, thus the probability of taking an orange one is 8/15

B: P(r and r and o) = 5/17* 4/16 * 8/15
A and ‌B are equal
_________________

Re: Joe reaches into a bag containing 5 red,   [#permalink] 01 Jan 2019, 15:34
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