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Three probability problems in senior one mathematics ~ ~! ! ! ! !
1. The waiting time is 6 hours.

The time interval is 24 hours.

Therefore, it can be assumed that "a to x, b to y" corresponds to points {(x, y)|24≥x≥0, 24≥y≥0}.

The necessary and sufficient condition for two ships to meet is 6≥|x-y|.

If a rectangular coordinate system is established on a plane, all possible results of (x, y) are squares with a side length of 24.

Then draw a picture.

Therefore, the probability that at least one of the two ships has to wait when berthing is 7/ 16.

2. Time is reported once every hour, and a number axis is drawn. D is 60 minutes, not more than 10 minutes, and 10 minutes on the original number axis all meet the meaning of the question within the length of 10, so the probability is16.