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16 Oct 2010, 05:47
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C
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52%
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The cards in a deck are numbered consecutively from 1 to 20. If some cards are red and some cards are black, what is the probability of drawing a red card?
(1) The odd-numbered cards are all red.
(2) The even-numbered cards are all black.
(1) The odd-numbered cards are all red.
(2) The even-numbered cards are all black.
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16 Oct 2010, 14:55
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I think the catch here is that "some cards are red and some cards are black". May be some cards are of other colors too. This would prevent us from assuming that each of the given statements are sufficient and requires both together to determine the probability.
16 Oct 2010, 15:21
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Fremontian I agree with you.
According to (1) there is still the possibility that some of the even-numbered cards could be also red and if I don't consider that I will falsely underestimate the probability of drawing a red card, so insufficient.
Statement (2) ensures me that the rest of the cards are black,
hence I can exactly estimate the probability if I take both statements together.
Therefore C
According to (1) there is still the possibility that some of the even-numbered cards could be also red and if I don't consider that I will falsely underestimate the probability of drawing a red card, so insufficient.
Statement (2) ensures me that the rest of the cards are black,
hence I can exactly estimate the probability if I take both statements together.
Therefore C
