Question

The carnival spinner shown below is divided into equal sections. On every spin, each outcome is equally likely.

The spinner shows numbers from 1 to 16 in a sequential order in a clockwise direction.

If the spinner lands on a number less than 10 on its next spin, what is the probability that it is a multiple of 4?

A.


B.


C.


D.

Answer 1

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 \( \frac{2}{9} \).