How many sections are blue on a spinner divided into 12 congruent sections with the given probabilities?

How many sections are blue on a spinner divided into 12 congruent sections with the given probabilities?

• A. 2
• B. 4
• C. 5
• D. 9

Answer: (C)

To determine how many sections of the spinner are blue, we begin by analyzing the probabilities associated with each color on the spinner. If the spinner is divided into 12 congruent sections and we know the probability of landing on blue, we can calculate the number of blue sections from that information. For example, if the probability of landing on a blue section is provided as a fraction, that fraction can be expressed as the number of blue sections out of the total sections. Assuming the probability for blue is given as a fraction \( \frac{n}{12} \), where \( n \) represents the number of sections that are blue, the total number of sections is clearly 12. If probabilities indicate that blue sections make up a certain fraction of the total (for instance, \( \frac{5}{12} \)), we find the number of blue sections by multiplying that fraction by 12. Continuing with the example, multiplying \( \frac{5}{12} \times 12 \) gives us 5. So, if the given data said 5 out of the 12 sections are blue, then the answer would be that there are indeed 5 blue sections. In this context, having determined that the correct answer indicates there

To determine how many sections of the spinner are blue, we begin by analyzing the probabilities associated with each color on the spinner. If the spinner is divided into 12 congruent sections and we know the probability of landing on blue, we can calculate the number of blue sections from that information.

For example, if the probability of landing on a blue section is provided as a fraction, that fraction can be expressed as the number of blue sections out of the total sections. Assuming the probability for blue is given as a fraction ( \frac{n}{12} ), where ( n ) represents the number of sections that are blue, the total number of sections is clearly 12.

If probabilities indicate that blue sections make up a certain fraction of the total (for instance, ( \frac{5}{12} )), we find the number of blue sections by multiplying that fraction by 12. Continuing with the example, multiplying ( \frac{5}{12} \times 12 ) gives us 5. So, if the given data said 5 out of the 12 sections are blue, then the answer would be that there are indeed 5 blue sections.

In this context, having determined that the correct answer indicates there