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# A box of doughnuts contains glazed, cream-filled, and jelly

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CEO
Joined: 17 Jul 2014
Posts: 2525
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: A box of doughnuts contains glazed, cream-filled, and jelly [#permalink]

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31 Mar 2016, 18:28
Nsentra wrote:
A box of doughnuts contains glazed, cream-filled, and jelly doughnuts. The box contains no other types of doughnuts. One doughnut is randomly selected from the box. What is the probability that the doughnut selected is glazed?

(1) If a glazed doughnut is selected, then the probability of withdrawing a second glazed doughnut is 2/5

(2) There were originally 5 glazed doughnuts in the box.

pretty straight forward question..looks like a 600-700 than a 700 lvl...

we need to find: G/(G+C+J)

1. G-1/(G+C+J-1) = 2/5
it could have been 3 G, and probability is 1/2
or it could be 5 G, and 11 total, thus probability is 5/11.
1 alone is insufficient.

2 alone is insufficient.

1+2
we know that originally, there were 5 G.
so 2x/5x => 2x=5-1 = 4, so x=2. or total there were 11 donuts, out of which 5 were G.

sufficient.
C
Re: A box of doughnuts contains glazed, cream-filled, and jelly   [#permalink] 31 Mar 2016, 18:28
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