Draw a tree diagram to find the number of possible outcomes.
-Choose a number, 1, 2, 3, 4, and then a vowel, a,e,i,o,u.
A)16 outcomes
B)9 outcomes
C)20 outcomes
D)5 outcomes

Question

Quizplus · Accepted Answer

The first level of the tree diagram will have 4 branches for the numbers from 1 to 4. The second level of the tree diagram will have 5 branches for the vowels a, e, i, o, and u. Therefore, there are a total of 4 x 5 = 20 possible outcomes. Therefore, the correct option is choice C. To create a tree diagram, we start by listing the options for the first event (choosing a number) and then branching off to the options for the second event (choosing a vowel).

Number options: 1, 2, 3, 4
Vowel options: a, e, i, o, u

This gives us a total of 4 branches for the first event and 5 branches for the second event.

If we multiply the number of branches at each level, we get:
4 branches x 5 branches = 20 possible outcomes

Therefore, the correct answer is C, 20 outcomes.

Draw a Tree Diagram to Find the Number of Possible