Probability Question

2007-12-29 12:25 am
The following table shows the departure time of routes 6C and 6F buses from terminus A from 6:00 a.m. to 7:30 a.m.

6C | 6:00 | 6:10 | 6:20| 6:30 | 6:40 | 6:50 | 7:00 | 7:10 | 7:20|
6F | 6:02 | 6:12 | 6:22| 6:32 | 6:42 | 6:52 | 7:02 | 7:12 | 7:22|

Jane takes a route 6C or 6F bus at terminus A every day between 6:00 a.m. and 7:00 a.m.She gets on the bus whichever depats earlier.

Find the probability that Jane gets on a route 6C bus at least once in three successive days.

回答 (1)

2007-12-30 12:35 am
✔ 最佳答案
既然你邀請我答,好我就幫你答:
首先你要留音到:Jane在以下時間出現在車站,就會乘6F:
6:00-6:02,6:10-6:12,6:20-6:22,6:30-6:32,6:40-6:42,6:50-6:52共12mins
其餘時間就會乘6C,那麼每日會乘6F的機會率是P(6F)=12/60=1/5
P(gets on route 6C bus at least once in three successive days)=1-P(gets on 6F in three successive days)
=1-(1/5)(1/5)(1/5)
=124/125


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