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# A certain candy store sells jellybeans in the following six flavors on

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Math Expert
Joined: 02 Sep 2009
Posts: 47983
A certain candy store sells jellybeans in the following six flavors on  [#permalink]

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01 Aug 2018, 21:43
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Question Stats:

47% (01:25) correct 53% (02:17) wrong based on 19 sessions

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A certain candy store sells jellybeans in the following six flavors only: banana, chocolate, grape, lemon, peach and strawberry. The jellybeans are sorted into boxes containing exactly 2, 3 or 4 different flavors, with each possible assortment of flavors appearing in exactly one box. What is the probability that any given box contains grape jellybeans?

A. $$\frac{1}{6}$$

B. $$\frac{1}{3}$$

C. $$\frac{2}{5}$$

D. $$\frac{1}{2}$$

E. $$\frac{3}{4}$$

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Joined: 30 May 2018
Posts: 9
A certain candy store sells jellybeans in the following six flavors on  [#permalink]

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02 Aug 2018, 00:08
1
To find out the outcomes with g, we have to subtract from the all outcomes the ways in which g is NOT included.

So it'd be:
6C2 - 5C2 = 5
6C3 - 5C3 = 10
6C4 - 5C4 = 10
25 ways in which g is contained.

Total 50 ways, so 25/50 = 1/2.

D

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A certain candy store sells jellybeans in the following six flavors on &nbs [#permalink] 02 Aug 2018, 00:08
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