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# A certain jar contains 60 jelly beans—22 white, 18 green, 11

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A certain jar contains 60 jelly beans—22 white, 18 green, 11 [#permalink]  10 Sep 2017, 11:57
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Question Stats:

85% (00:50) correct 14% (01:29) wrong based on 115 sessions
A certain jar contains 60 jelly beans—22 white, 18 green, 11 yellow, 5 red, and 4 purple. If a jelly bean is to be chosen at random, what is the probability that the jelly bean will be neither red nor purple?

A. 0.09

B. 0.15

C. 0.54

D. 0.85

E. 0.91

Practice Questions
Question: 5
Page: 120
Difficulty: medium
[Reveal] Spoiler: OA

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Re: A certain jar contains 60 jelly beans—22 white, 18 green, 11 [#permalink]  10 Sep 2017, 12:01
Expert's post
Explanation

Since there are 5 red and 4 purple jelly beans in the jar, there are 51 that are neither red nor purple, and the probability of selecting one of these is $$\frac{51}{60}$$.Since all of the answer choices are decimals, you must convert the fraction to its decimal equivalent, 0.85
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Re: A certain jar contains 60 jelly beans—22 white, 18 green, 11 [#permalink]  21 Jun 2019, 08:24
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Carcass wrote:
A certain jar contains 60 jelly beans—22 white, 18 green, 11 yellow, 5 red, and 4 purple. If a jelly bean is to be chosen at random, what is the probability that the jelly bean will be neither red nor purple?

A. 0.09

B. 0.15

C. 0.54

D. 0.85

E. 0.91

Practice Questions
Question: 5
Page: 120
Difficulty: medium

Since the only colors are white, green, yellow, red, and purple, we can see that NOT getting red or purple is the same as GETTING white, green or yellow

So, P(NOT getting red or purple) = P(GETTING white, green or yellow)

There are 60 jellybeans in total.
Number of jellybeans that are white, green or yellow = 22 + 18 + 11 = 51

So, P(GETTING white, green or yellow) = 51/60
= 17/20
= 0.85

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: A certain jar contains 60 jelly beans—22 white, 18 green, 11 [#permalink]  29 May 2020, 08:55
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If there are 5 red and 4 purple, then the probability that I won't select a red or a purple is the same as the probability of selecting all the other ones.

Easiest way is to subtract 9 from the 60 jelly beans to have 51 remaining. The probability of selecting anything EXCEPT red and purple is 51/60 = 0.85!
Re: A certain jar contains 60 jelly beans—22 white, 18 green, 11   [#permalink] 29 May 2020, 08:55
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