To determine the probability that the spinner lands on a number less than 10 that is a multiple of 4, we will first identify the numbers less than 10 and then check which of these are multiples of 4.
The numbers on the spinner are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
The numbers less than 10 are: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Now we identify the multiples of 4 among these numbers:
- The multiples of 4 that are less than 10 are: 4 and 8.
Thus, there are a total of 2 multiples of 4: 4 and 8.
Next, we count the total outcomes when the spinner lands on a number less than 10: The total numbers less than 10 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, which gives us a total of 9 outcomes.
Now, we calculate the probability: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \] \[ \text{Probability} = \frac{2}{9} \]
Thus, the probability that the spinner lands on a number less than 10 that is a multiple of 4 is \(\frac{2}{9}\).
If A., B., C., and D. correspond to possible answers, the answer is \( \frac{2}{9} \).