To predict how many times the spinner will land on an even number when spun 16 times, you'll first need to determine the probability of landing on an even number.
Assuming the spinner is numbered from 1 to 8, the even numbers are 2, 4, 6, and 8. This means there are 4 even numbers out of a total of 8 numbers.
The probability \( P \) of landing on an even number is given by:
\[ P(\text{even}) = \frac{\text{Number of even outcomes}}{\text{Total outcomes}} = \frac{4}{8} = \frac{1}{2} \]
Now, if we spin the spinner 16 times, we can predict the expected number of times it will land on an even number by multiplying the total spins by the probability of landing on an even number:
\[ \text{Expected even outcomes} = \text{Total spins} \times P(\text{even}) = 16 \times \frac{1}{2} = 8 \]
So, the best prediction for the number of times the spinner will land on an even number when spun 16 times is:
8 times.