We obtained a different solution compared with Model 1. But we can not tell which one is right or wrong because the models that we examined are different. Now let us examine one last model. The desired probability is obtained when the chord A'B' starts moving from AB to the point P. With this interpretation, we can define the probability as below. In examining this problem, choosing the diameter of the circle to be 2 and the length of the chord to be the makes the problem accessible to students.
Students can use their knowledge of high school geometry in solving the problem.
As the parameters of the problem are changed in each model, the nature of the solution changes. Students are encouraged to find other approaches which generate other solutions. Teachers can use this idea to develop extensions to this problem.