单选题A student is instructed to arrange four cards in a row on a table. She has six cards to choose from, each of which has a different color: black, red, blue, green, yellow, and brown. If the student follows these instructions but otherwise chooses her cards randomly, what is the probability that her arrangement will be blue, red, yellow, and green, in that order?A1/90B1/ 180C1/360D1/540E1/720
单选题
A student is instructed to arrange four cards in a row on a table. She has six cards to choose from, each of which has a different color: black, red, blue, green, yellow, and brown. If the student follows these instructions but otherwise chooses her cards randomly, what is the probability that her arrangement will be blue, red, yellow, and green, in that order?
A
1/90
B
1/ 180
C
1/360
D
1/540
E
1/720
参考解析
解析：
从6张不同颜色的卡片中选出其中四张排列为1列，第一张卡片有6中选择，第二张卡片有5中选择，以此类推，第三张和第三张卡片分别有4种和3种选择，所以将4张卡片排在一起的可能性为6 x 5 x 4 x 3 = 360种。所以概率为1/360。
从6张不同颜色的卡片中选出其中四张排列为1列，第一张卡片有6中选择，第二张卡片有5中选择，以此类推，第三张和第三张卡片分别有4种和3种选择，所以将4张卡片排在一起的可能性为6 x 5 x 4 x 3 = 360种。所以概率为1/360。
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