The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a consonant the first time and a vowel the second time if the spinner is spun twice.

A circle is divided equally into three sections.· One of the sections is labeled with an upper E.
· One of the sections is labeled with an upper U.
· One of the sections is labeled with an upper N.
· An arrow originating from the center of the circle is pointing at the section labeled with upper U. (1 point)
two-thirds
two-ninths
three-fourths
start fraction 5 over 9 end fraction

1 answer

Using a tree diagram, we can easily see the possible outcomes of spinning the spinner twice:

C V
/ \ / \
C V C V
/ \ / \ / \ / \
C V C V C V C V

There are a total of 4 outcomes where the spinner lands on a consonant the first time and a vowel the second time (shown in bold).

Therefore, the probability of this happening is 4/8 or 1/2.

Regarding the second problem, since only one section is labeled with an upper U out of three total sections, the probability of the arrow pointing at the U section is 1/3. Thus, the answer is:

start fraction 1 over 3 end fraction