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How does a tree diagram give you the denominator of the fraction from of a probability?
The number of objects in the furthest right column of the tree will be your denominator.
In probability why would a table be used instead of a tree diagram?
There is no particular reason. There are times when a table is more useful and others where a tree diagram is better. If the probability of an event changes according to the outcome of an earlier event (for example picking cards without replacing) then a table will be close to useless whereas a tree diagram is perfectly suited.
Which would be more useful in finding the probability of an event a tree diagram or the counting principle?
The answer depends on the nature of the event. If the event is composed of sub-events then a tree diagram may help but if not, it is irrelevant.
Draw the probability tree diagram for flipping the coin two times showing the outcome?
Each toss outcome has a probability of 1/2; picture copied from the related link. The related link does a good job explaining tree diagrams and probabilities.
How do you find probability from a probability generating function?
you ether use a graph tree diagram or web diagram to answer the possible outcomes of the question possible outcomes meaning the number of outcomes the person will have in the probability or divide the number of favourable outcomes by the number of possible outcomes favorible outcomes meaning the number of outcomes all together
