Question

You spin the spinner once.

4567


What is P(divisor of 28)?

Write your answer as a percentage.

%

Answer 1

To compute the probability \( P(\text{divisor of } 28) \), we first need to identify the divisors of 28 and then see how many of the numbers on the spinner (4, 5, 6, 7) are among those divisors.

The divisors of 28 are:

- 1
- 2
- 4
- 7
- 14
- 28

Now, we compare these with the numbers on the spinner: 4, 5, 6, 7.

Among these numbers, the ones that are divisors of 28 are:
- 4 (is a divisor)
- 7 (is a divisor)

So, there are 2 favorable outcomes (4 and 7) out of a total of 4 outcomes (4, 5, 6, 7).

Now we can calculate the probability:

\[
P(\text{divisor of } 28) = \frac{\text{number of favorable outcomes}}{\text{total outcomes}} = \frac{2}{4} = 0.5
\]

To express this probability as a percentage, we multiply by 100:

\[
P(\text{divisor of } 28) \times 100 = 0.5 \times 100 = 50\%
\]

Thus, the final answer is:

\[
\boxed{50\%}
\]