Probability and Traffic Flow

Overview

Basically, the roads look like this on the map:

After going out and watching the traffic for a few mornings, you make a startling discovery. At each fork in the road, about half of the cars turn left, and the other half turn right. You and your team have a Chaos set in your office and have decided that it could be useful in making a model of the situation. The track can represent the road, and pendulum switches can determine which way the cars turn. The cars will be the balls rolling down the track.

Setup

Build the following setup. You should have two forks in your road, with a pendulum switch at each one. Be careful to line up the pendulum switch directly below the ball drop.

Activity

Stage 1: The Traffic Experiment

It's time to run a traffic experiment. We can roll balls down the track and see how many balls go on each track. These balls represent the number of cars that go down each of these roads in Chaosville. Roll thirty balls and count how many go to each section of town. Which road do you think should have four lanes? Why?

Quiz Yourself

Stage 1

Refer to the map of the roads in Chaosville. If exactly half of the cars go each way at each fork in the road. After 40 cars have driven down the road, how many will have taken each exit?

Answer: 20 at exit 1, 10 at exit 2, and 10 at exit 3.