Each of the eggs in a bowl is dyed red, or green, or blue.

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Each of the eggs in a bowl is dyed red, or green, or blue. If one egg is to be removed at random. what is the probability that the egg will be green?

(1) There are 5 red eggs in the bowl.
(2) The probability that the egg will be blue is 1/3

OA E

Source: Official Guide
Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Fri Jul 26, 2019 4:42 am

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BTGmoderatorDC wrote:Each of the eggs in a bowl is dyed red, or green, or blue. If one egg is to be removed at random. what is the probability that the egg will be green?

(1) There are 5 red eggs in the bowl.
(2) The probability that the egg will be blue is 1/3

OA E

Source: Official Guide
Target question: What is the probability that the egg will be green?
Upon scanning the two statements, it certainly seems like there isn't enough information (each statement mentions just 1 color, and neither statement mentions green eggs)
As such, we can probably head straight to....
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Statements 1 and 2 combined
There are several scenarios that satisfy BOTH statements. Here are two:
Case a: There are 5 red eggs, 1 green egg and 3 blue eggs (notice that both statements are satisfied). In this case, the answer to the target question is P(select green egg) = 1/9
Case b: There are 5 red eggs, 3 green egg and 4 blue eggs (notice that both statements are satisfied). In this case, the answer to the target question is P(select green egg) = 3/12 = 1/4
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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