Dependent because jason has fewer pieces to choose from
For this case, we have the following equation (according to the comments):

First, we factor the quadratic expression in the denominator:

Then, we multiply both sides of the equation by (a-2) (a + 2):

Later, canceling similar terms we have:

We do distributive property on the left side of the equation:

By grouping variables and constant terms we have:

Rewriting we have:

Finally, by clearing "a" we have:

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.
Answer:
the student correct, but the value of a= -2 is an extraneous solution
The tree diagram is constructed and attached as an image below.
80% of the participants received medication, this means 20% received placebo. Among those who received medication, 76% reported improvement, this means rest 24% reported no improvement. Among those who received Placebo, 62% reported no improvement, this means rest 38% reported improvement.
The probability of P(Placebo and Improvement) will be = 20% x 38%
P(Placebo and Improvement) = 0.20 x 0.38 = 0.076 = 7.6%
This means there is 7.6% probability that those who received Placebo reported Improvement.
Interesting..? What was the equation?