Tree Diagram

[Taranoff]

Hi, I have to draw a tree diagram but I am really stuck on what the first two branches should be. I can do the rest but I don't know what the first do braches should be.

The Question:

A student randomly answers a multiple-choice quiz of 3 questions. Each question has 4 chouces for the answer. Draw a tree diagram for this experiment (complete with all probablities.)

 

[mmm4444bot]

It seems to me that the tree will have three initial branches (one for each question in the exam).

EACH of these three branches will sprout four new branches (one for each multiple-choice selection).

Be forewarned, however; I have not used any tree diagrams so far this millenium.