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标题: 请教两题数学题 [打印本页]

作者: cxks01    时间: 2011-11-14 23:00
标题: 请教两题数学题
这一题看不懂题目,问的是什么?求过程
In the decimal representation of x, where 0 < x < 1, is the tenths digit if x nonzero?

(1)16x is an integer.
(2)8x is an integer.

When tossed, a certain coin has equal probability of landing on either side.If the coin is tossed 3 times, what is the probability that it will land on the same side each time?这题为什么不是1/8?

When tossed, a certain coin has equal probability of landing on either side.If the coin is tossed 3 times, what is the probability that it will land on the same side each time?这题为什么不是1/8?
作者: lingdang123    时间: 2011-11-14 23:07
第一道题说的是:对于处于0,1之间的小数X,它的十分位(也就是小数点后第一位)是否为0
条件1不充分:0.0625*16=1,是整数;0.125*16=2,是整数。所以x的十分位可以是0也可以不是0,条件1不充分。
条件2充分:8x是整数,说明x的小数部分最小是0.125(因为0.125*8=1),当x的十分位为0时,x的小数部分乘以8后不可能再得整数,因此x的十分位必不为0,条件2充分。

第二道题可以是正正正,也可以是反反反。正正正的概率是1/8,反反反的概率也是1/8,所以连续三次是同一面的概率是1/4




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