【GMAT考满分数据洞察DS题库】If two different students are to be selected at_真题_答案

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If two different students are to be selected at random from a group of $10$ male and female students, and if $p$ is the probability that one male and one female student will be selected, is $p>\frac{1}{3}$ ?

(1) More than $\frac{1}{2}$ of the $10$ students are female.

(2) The probability that both students selected will be female is greater than $\frac{1}{3}$ and less than $\frac{1}{2}$ .

AStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
BStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
CBOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
DEACH statement ALONE is sufficient.
EStatements (1) and (2) TOGETHER are not sufficient.

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正确答案: B

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