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A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green card

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Joined: 13 May 2010
Posts: 93
A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green card  [#permalink]

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17 Jun 2010, 06:20
6
00:00

Difficulty:

55% (hard)

Question Stats:

62% (02:49) correct 38% (03:07) wrong based on 44 sessions

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A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green cards. 3 cards are randomly drawn with replacement from the deck. What is the probability that all three cards are the same color?

A. 11/81
B. 64/729
C. 5/7
D. 27/729
E. 2/5
Math Expert
Joined: 02 Sep 2009
Posts: 55670
Re: A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green card  [#permalink]

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17 Jun 2010, 06:44
gmatcracker2010 wrote:
6. A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green cards. 3 cards are randomly drawn with replacement from the deck. What is the probability that all three cards are the same color?

A. 11/81
B. 64/729
C. 5/7
D. 27/729
E. 2/5

OA

Note that cards are drawn with replacement. So every time we draw from 9 cards and it's possible to draw 3 red cards, 3 blue cards or 3 green cards:

$$P=(\frac{2}{9})^3+(\frac{3}{9})^3+(\frac{4}{9})^3=\frac{11}{81}$$.

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Re: A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green card  [#permalink]

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11 Jan 2019, 04:18
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Re: A deck of 9 cards contains 2 red cards, 3 blue cards, and 4 green card   [#permalink] 11 Jan 2019, 04:18
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