A spinner contains 10 equal-sized sections. The sections are colored red, green, black, or orange. The spinner is spun 50 times. The spinner landed on:

Question

red 19 times
green 11 times
black 4 times
orange 16 times
Question
Based on these results, how many sections are ,begin emphasis,most,end emphasis, likely each color on the spinner? Enter the answers in the boxes.

Response area with 4 text input boxes
Color Number of Spinner Sections
Red

Green

Black

Orange

Answer 1

To determine the most likely number of sections of each color on the spinner, we can use the proportion of each color based on the results of the spins.

1. Total spins = 50
2. Frequencies:
   • Red: 19 times
   • Green: 11 times
   • Black: 4 times
   • Orange: 16 times

Next, we calculate the proportion of each color and then multiply by the total number of sections (which is 10) to estimate the number of sections for each color.

• Proportion of Red = 19 / 50 = 0.38
• Proportion of Green = 11 / 50 = 0.22
• Proportion of Black = 4 / 50 = 0.08
• Proportion of Orange = 16 / 50 = 0.32

Now we multiply these proportions by the total number of sections (10) to find the estimated number of sections for each color:

• Red: \(0.38 \times 10 = 3.8\) (rounding to 4 sections)
• Green: \(0.22 \times 10 = 2.2\) (rounding to 2 sections)
• Black: \(0.08 \times 10 = 0.8\) (rounding to 1 section)
• Orange: \(0.32 \times 10 = 3.2\) (rounding to 3 sections)

Putting these estimates into the boxes:

Color | Number of Spinner Sections -------|--------------------------- Red | 4 Green | 2 Black | 1 Orange | 3

So the most likely number of sections of each color in the spinner is:

• Red: 4
• Green: 2
• Black: 1
• Orange: 3