Questions: You poll three people. Make a pirate/ninja tree diagram for the costume they like better. Choose the correct tree diagram below. A. B. C. D.

Solution Steps

The problem asks for a tree diagram representing the costume preferences (Pirate 'P' or Ninja 'N') of three polled people. Each person can choose either costume, and the tree diagram should reflect all possible combinations of choices. Since there are three people and two choices per person, there should be 2 * 2 * 2 = 8 total outcomes in the diagram.

Each tree diagram should branch twice for each person polled. The first branch represents the first person's choice, the second branch represents the second person's choice, and the third branch represents the third person's choice.

Option A correctly depicts the scenario. The first branch shows the two possible choices for the first person (P or N). Each of those choices branches again for the second person (P or N), and finally, each of those branches further divides into the two choices for the third person (P or N). This creates the correct 8 outcomes. Options B, C, and D have incorrect branching structures, leading to incorrect combinations of outcomes.

Final Answer: The correct answer is A.