Armando is arranging his art project, science project, and math project on his desk. The tree diagram below shows the sample space.
A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.
Based on the tree diagram, what is the probability that the art project is in the middle? (5 points)
one over six
two over six
three over six
four over six
The art project can be in the middle in two out of the six possible outcomes shown in the tree diagram: art, math, science and art, science, math.
Therefore, the probability that the art project is in the middle is 2 out of 6, which simplifies to 1 out of 3.
So, the answer is two over six.