If one event can occur in x different ways, and for each of these another event can occur in y different ways, then together the two events can occur in x y different ways. If the total number of possibilities is all we need to know, how many , then an actual listing, like the tree diagram, is unnecessary and is often very difficult or tedious to obtain. Use the examples in the text as a guide in completing the following tree diagram. Be sure that every H and T has been connected in the diagram. By arranging all the possible outcomes in a H tree diagram, each branch of the tree, read H from left to right represents one outcome of T the coin tossing.
H shows that there are eight different possible T outcomes for the coin toss problem.
Each of the three coins had 2 possible outcomes. This is a much faster approach, than using the tree diagram, when determining the how many possible outcomes. There are 144 different ways to choose the special. Be sure you read the information on the Twenty-One Bell slot machine carefully. Problem 1, page 408.