Final answer:
The probability of the arrow landing on the white space on a spinner with 4 out of 8 white spaces in two consecutive spins is ¼ or 25%.
Step-by-step explanation:
If a spinner has 8 spaces and 4 of them are white, the probability of the arrow landing on a white space in one spin is ½ because there are 4 white spaces out of 8 total spaces.
When the spinner is spun twice, we need to find the probability of the arrow landing on a white space both times. Since each spin is independent, we multiply the probability of landing on white in the first spin by the probability of landing on white in the second spin.
Probability of landing on white in one spin = 4 out of 8 = ½
Probability of landing on white in both spins = ½ * ½ = ¼
Therefore, the probability of the arrow landing on the white space both times when the spinner is spun twice is ¼ or 25%.