To determine the probability of spinning an even number on both spins of the spinner, we need to first identify the even numbers on the spinner.
The sections of the spinner are labeled 1, 2, 3, and 4. Among these numbers:
- The even numbers are 2 and 4.
Now, we can count the total outcomes and the favorable outcomes:
- There are a total of 4 sections on the spinner.
- The favorable outcomes for spinning an even number are 2 and 4, so there are 2 favorable outcomes.
The probability of spinning an even number in one spin is:
\[ P(\text{even in one spin}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{4} = \frac{1}{2} \]
Since the spinner is spun twice, we can find the probability of getting an even number both times.
The probability of getting an even number on both spins is:
\[ P(\text{even on both spins}) = P(\text{even on first spin}) \times P(\text{even on second spin}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} \]
Thus, the probability of spinning an even number on both spins is:
\[ \boxed{\frac{1}{4}} \]