Two Probability Trees B
Another Two Tree Example
First look at Two Probability Trees A. In that activity we introduce the idea behind Bayes' Theorem by filling out two different, but related probability trees given only three of the probabilities. This is another similar example. This time we are given three different probabilities. Adjust the values of the three given probabilities by moving the sliders or typing in a value in the input boxes. However, note that for this to have a solution we have the following restriction on P(A & C):
max(0, P(A) + P(C) - 1) < P(A & C) < P(A & C).
Slide the step slider all the way to the left. See if you can use the properties of probability trees to fill out the two trees. Slowly slide the step slider to the right one step at a time to see the solution.