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both are not blue

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by sanju09 » Tue May 24, 2011 1:16 am
A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both are not blue?
(A) 1/32
(B) 1/16
(C) ¼
(D) 15/28
(E) 9/16


[spoiler]Source: Eric's collection on BTG


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by manpsingh87 » Tue May 24, 2011 1:25 am
sanju09 wrote:A certain deck of cards contains 2 blue cards, 2 red cards, 2 yellow cards, and 2 green cards. If two cards are randomly drawn from the deck, what is the probability that they will both are not blue?
(A) 1/32
(B) 1/16
(C) ¼
(D) 15/28
(E) 9/16

[spoiler]Source: Eric's collection on BTG


OA D[/spoiler]
out of 8 cards any two cards can be selected in 8C2 ways= 28;
now both of these cards will not be blue if we select 2 cards out of the remaining 6 cards, (i.e. from cards other than blue cards)
6C2 ways;
hence required probability is 6C2/8C2=15/28; hence d
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