Consider a series of events.(a) How does a tree diagram help you list all the possible outcomes of a series of events?All possible outcomes are shown as distinct paths from the beginning of the diagram to the end of each last branch.All possible outcomes are shown as distinct paths along every individual branch.    All possible outcomes are shown at the beginning of each branch.All possible outcomes are shown along the top branch.(b) How can you use a tree diagram to determine the total number of outcomes of a series of events?Counting the number of beginning branches gives the total number of outcomes.Counting the number of outcomes on the first main branch and then multiplying by 2.    It is not possible to count the total number of outcomes using a tree diagram.Counting the number of final branches gives the total number of outcomes.

A tree diagram is helpful when finding the number of __________.ResponsesA outcomesoutcomesB participants

How many outcomes are there for a tree diagram if you flip 3 coins, if each outcome counts only the number of heads.

A decision tree is a diagram consisting of:Group of answer choicescircular decision nodes, square probability nodes, and branches.square decision nodes, circular probability nodes, and branches.any shapes and form that the analyst chooses.branches with angles and distance indicating the likelihood of branch selection.

Consider a partially completed tree diagram for rolling 2 dice with the following outcomes: {1, prime number, composite number}. The probability that the first branch of the tree is a composite number is , and the probability that the second branch is also composite is , so the probability that both rolls are composite is

Calculate the probability of combined events using,where appropriate:• sample space diagrams• Venn diagrams• tree diagrams