Question

if you spin the spinner 98 times, what is the best prediction possible for the number of times it will land on green or blue?

Explanation:

Step1: Determine total sections

The spinner has 8 equal - sized sections (by visually inspecting the spinner: let's count the number of slices. From the image, we can see that the spinner is divided into 8 parts).

Step2: Count green and blue sections

Green: 1 section, Blue: 1 section. So total green or blue sections = 1 + 1 = 2.

Step3: Find the probability of landing on green or blue

The probability \( P=\frac{\text{Number of green or blue sections}}{\text{Total number of sections}}=\frac{2}{8}=\frac{1}{4} \).

Step4: Predict the number of times

If we spin the spinner \( n = 98 \) times, the expected number of times it lands on green or blue is \( n\times P=98\times\frac{1}{4}=\frac{98}{4} = 24.5\approx25 \) (or we can calculate it as \( 98\times\frac{2}{8}=98\times\frac{1}{4} = 24.5 \), and since we are looking for the best prediction, we can also keep it as a decimal or round it. But let's do the exact calculation: \( 98\times\frac{2}{8}=\frac{98\times2}{8}=\frac{196}{8} = 24.5 \)).

Answer:

24.5 (or 25 if we round to the nearest whole number)