From what the statement says the question seems to be to represent the sample space of randomly choosing a type of tree and a color for the decorations
In this case, what we must do is identify the events that exist and the options that each event has, like this:
Event 1:
Tree type: real or fake
Event 2:
Colors for the ornaments: White (W), Silver (S), Gold (G) or Purple (P)
Since in an event there are 2 options and the other 4 options, the final number of options would be 2 * 4, that is, 8 options, represented below:
(real, W), (real, S), (real, G), (real, P), (fake, W), (fake, S), (fake, G), (fake, P)
The above would be the sample space of the events.
Now the probability of 1 coming out is 1 over the event total, or 1/8.
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