问题 选择题

反复掷掷一个骰子,依次记录下每一次抛掷落地时向上的点数,当记有三个不同点数时即停止抛掷,若抛掷五次恰好停止,则记有这五次点数的所有不同记录结果的种数有(  )

A.360种

B.600种

C.840种

D.1680种

答案

在3次不同点数是停止且在第5次停止,所以前4次抛掷有2种数字,第5次才出现第3种数字.

由于在前4投中有任意2个不同的数出现故为C62=15,所以最后1投是在剩余4个数中任选1个数,有C41=4

在任取的前2个数中,假设为X和Y,有以下几种情况

①X Y Y Y,其可能性为4种

②X X Y Y,其可能性为6种

③X X X Y,其可能性为4种

所以最后全部的可能性有15×4(4+6+4)=840   

故选C.

单项选择题
填空题

President Bush arrived in Washington and forged ahead with an ambitious agenda- (1) tax cuts, vast changes in federal social programs, expansions of executive power and (2) broad remaking of energy and education policies.
Claiming a mandate by simply declaring (3) existence, his early successes dazzled his critics. With guru Karl Rove directing the (4) , Bush won a stunning series of political victories.
He muscled his agenda through (5) friendly Congress, and gained seats for his party in the 2002 midterm elections. (6) biggest triumph came in 2004, when he won a second term despite a (7) unpopular war.
The "permanent" Republican majority he and Rove envisioned even seemed attainable (8) Bush plunged himself into his most ambitious legislative effort yet: a partial privatization (9) Social Security.
But the president who boasted about "political capital" in the heady (10) after his re-election now faces the worst of political fates as he enters (11) final year in office: borderline irrelevance.
The president’s second term has (12) defined by legislative paralysis, marked by record-low approval ratings, presidential candidates who are (13) from his shadow, and a lingering war that’s sapping his remaining reservoirs of (14) .
As he enters his final year in office with the war continuing, Republican (15) for president bolting from his shadow, and his party back in the minority (16) Congress, he is politically weakened, an early entry into lame-duck status.
And the (17) Washington atmosphere he hoped to cure is just as nasty as it was (18) he came to office seven years ago.
"lie’s left our political institutions much (19) troubled than they were before," said Thomas E. Mann, a senior fellow at (20) Brookings Institution, a Washington-based think tank. "He didn’t create the ideological polarization, but he magnified it. \