Tree Diagram and Probability

What is a tree diagram used for in probability?

• To measure the height of trees

• To visually represent the possible outcomes and their probabilities

• To determine the type of soil around trees

• To calculate the age of trees

Explain the concept of sample space in the context of a tree diagram.

• The sample space is the probability of an event occurring in a random experiment.

• The sample space is the set of all possible events that can occur in a random experiment.

• The sample space represents all possible outcomes of a random experiment.

• The sample space is the physical area where the experiment takes place.

If a gardener plants 3 types of flowers, and each type can come in 4 different colors, how many possible flower-color combinations are there?

• 10

• 7

• 16

• 12

In a tree diagram representing different paths a soccer ball can take after being kicked, what does the probability of the ball landing in a specific area represent?

• Number of possible outcomes

• Likelihood of the ball landing in that area

• Size of the area

• Frequency of the ball landing in that area

If a tree diagram has 4 branches on the first level and 5 branches on the second level, how many possible outcomes are there?

• 25

• 16

• 9

• 20