To determine the probability that the spinner lands on both multiples of 4 in both spins, we first identify the multiples of 4 within the circle sections numbered from 1 to 8.
The multiples of 4 in this range are:
- 4
- 8
So, there are 2 favorable outcomes (4 and 8) out of a total of 8 possible outcomes on the spinner.
The probability of landing on a multiple of 4 in one spin is: \[ P(\text{multiple of 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4} \]
Since the spins are independent, to find the probability of landing on a multiple of 4 on both spins, we multiply the probabilities of each spin: \[ P(\text{both spins are multiples of 4}) = P(\text{multiple of 4}) \times P(\text{multiple of 4}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \]
Thus, the probability that the spinner lands on both multiples of 4 in both spins is: \[ \frac{1}{16} \]
Therefore, the answer is: \[ \frac{1}{16} \]