The spinner is equally likely to land on any of the six sections.

what is the probability that the spinner will land on a number greater than 4 or on a shaded section?

2/9
1/2
2/3
5/6

You have a 2/3 chance.
In this question, it is easier to work with the complement. Since they are not simultaneous events, we will need to add them.

Let's consider the chance at picking a 2. We have a 1 in 6 chance at getting a 2 and since the question is after greater than 4, 4 is also considered part of the complement (1/6).

Now, you have a 6/6 chance at picking any number and since we want it subtracted from the complement, we would have a 4 in 6 chance, which is equivalent to a 2 in 3 chance at picking a number higher than 4 or a shaded region.