probability question

2012-08-05 4:18 am

圖片參考:http://imgcld.yimg.com/8/n/HA00523379/o/701208040073313873413600.jpg
please help me to calculate question 15b only.

answer:293/3270

回答 (1)

2012-08-05 6:04 am
✔ 最佳答案
a)150 + 180 + 925 - 1200 = 55 students join both.
b) P(At least 1 of them join both)
= 1 - P(All of them not join both)
= 1 - P(The 1st student not join both) * P(The 2nd student not join both)
= 1 - (1200 - 55)/1200 * (1200 -55 -1)/1199
= 1 - 229/240 * 104/109
= 1 - 229/109 * 13/30
= 1 - 2977/3270
= 293 / 3270


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