The probability of both spinners landing on red or orange is
. This is determined by considering the favorable outcomes (Red-Red, Red-Orange, Orange-Red, Orange-Orange) out of the total 9 possible outcomes.
To determine the probability that both spinners land on red or orange, we need to consider all the possible outcomes.
Each spinner has 3 sections: red, yellow, and orange. Since there are 2 spinners, the total number of outcomes is

Now, let's list the outcomes where both spinners land on red or orange:
1. Red-Red
2. Red-Orange
3. Orange-Red
4. Orange-Orange
There are 4 favorable outcomes.
Therefore, the probability is given by the number of favorable outcomes divided by the total number of outcomes:
![\[ P(\text{both red or orange}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} = (4)/(9) \]](https://img.qammunity.org/2021/formulas/mathematics/high-school/8wu0msle4w52wwsgsbr9klb080xjtxp5t0.png)
So, the correct answer is:
![\[ \text{C) } (4)/(9) \]](https://img.qammunity.org/2021/formulas/mathematics/high-school/orejz6l2nl6zumjzux32ojsnnatotm6unr.png)