Question

Nour and Rana are shopping for a Christmas tree. They are deciding between 222 different types of trees (real and fake) and 444 colors for the ornaments (white, silver, gold, and purple). They each created a display to represent the sample space of randomly picking a type of tree and a color for the ornaments.

Answer 1

Answer: C both

Step-by-step explanation:

Answer 2

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.