To determine the probability of spinning orange (dots) on both spins, we first need to identify how many sections of the spinner are orange and the total number of sections.
The spinner is divided into four equal parts, each one representing a different color:
- Part 1
- Part 2
- Part 3
- Part 4
Assuming one of these sections is colored orange and the other three are of different colors (based on standard illustrations of spinners), we establish that there is 1 orange section out of a total of 4 sections.
The probability of landing on the orange section in one spin is given by:
\[ P(\text{orange}) = \frac{\text{Number of orange sections}}{\text{Total number of sections}} = \frac{1}{4} \]
Since the spins are independent, the probability of landing on orange in both spins is the product of the individual probabilities:
\[ P(\text{orange on both spins}) = P(\text{orange on first spin}) \times P(\text{orange on second spin}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \]
Thus, the final probability of spinning orange on both spins is:
\[ \boxed{\frac{1}{16}} \]