Point K on
How can you find the length of each segment?
You can use the Ruler Postulate to find the length of each segment.
The probability that K is on
Transportation A commuter train runs every 25 min. If a commuter arrives at the station at a random time, what is the probability that the commuter will have to wait at least 10 min for the train?
How can you draw a diagram to model the situation?
Draw a line segment with endpoints 0 and 25 to represent the length of time between trains. Each point on the segment represents an amount of time spent waiting.
Assume that a stop takes very little time. Draw a line segment to model the situation. The length of the entire segment represents the amount of time between trains. A commuter will have to wait at least 10 min for the train if the commuter arrives at any time between 0 and 15 min.
The probability that a commuter will have to wait at least 10 min for the train is
When the points of a region represent equally likely outcomes, you can find probabilities by comparing areas.
Point S in region R is chosen at random. The probability that S is in region N is the ratio of the area of region N to the area of region R.