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A certain deck of cards contains 2 blue cards, 2 red cards, [#permalink]
19 Jul 2004, 11:31

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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 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?

The possibility that the first one isn't blue = 6/8 = 3/4
The possibility that the second one isn't blue is = 5/7

--->the probability that they will both are not blue = 3/4*5/7 = 15/28 _________________

"Life is like a box of chocolates, you never know what you'r gonna get"

the answer, 15/28, answers the question: "what is the probability that neither card is blue?"

This isn't a trick question, it's just not worded right for the answer desired. The question says, "what is the probability that both will not be blue"? In probability speak, that means together. It doesn't eliminate the possibilty of having a blue card with a different color card.

Again, the GMAT will not be this ambiguous. If we can sit here and argue about a question, it won't be on the test. The GMAT doesn't ever want to leave open the possibility that someone would contest a question. They make them rock solid, even if they're confusing.

That said, many books on the market have no such policy. So if you get a princeton review book, a kaplan book, an arco book, or any other book that someone is publishing once a year to try to cash in on the GMAT craze, where the ramifications of publishing a bad question aren't so heavy, expect questions with ambiguous solutions.