To determine the probability that the spinner lands on both multiples of 4 in two spins, we first identify the multiples of 4 within the numbers labeled on the circle. The numbers are from 1 to 8, and the multiples of 4 are:
- 4
- 8
Therefore, there are 2 multiples of 4 out of a total of 8 sections.
Step 1: Calculate the probability for one spin
The probability \( P \) of landing on a multiple of 4 in one spin is: \[ P(\text{multiple of 4 in one spin}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{2}{8} = \frac{1}{4} \]
Step 2: Calculate the probability for two spins
Since the spins are independent events, the probability of landing on a multiple of 4 in both spins is: \[ P(\text{multiple of 4 in both spins}) = P(\text{multiple of 4 in first spin}) \times P(\text{multiple of 4 in second spin}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} \]
Conclusion
The probability that the spinner lands on multiple of 4 in both spins is: \[ \boxed{\frac{1}{16}} \]