Sophia is playing with a spinner. She spun the spinner 30 times and got: \( \begin{array}{c}9 \text { red } \\ 7 \text { yellow } \\ 8 \text { green } \\ 6 \text { blue }\end{array} \) Based on her results, if she spins 105 times, how many times will she land on the color green? A 28 times B 26 times C 21 times

To predict how many times Sophia will land on green when she spins the spinner 105 times, we first calculate the probability of landing on green based on her first 30 spins. She landed on green 8 times, so the probability is \( \frac{8}{30} = \frac{4}{15} \). Now, we can use this probability to estimate how many times she will land on green in 105 spins. We multiply the probability of landing on green by the number of spins: \( \frac{4}{15} \times 105 = 28 \). So, she can expect to land on green approximately 28 times! Did you know that predicting outcomes based on probabilities isn’t just for spinners or games? In fields like finance and healthcare, probability helps experts forecast trends and assess risks, guiding important decisions in real life. It’s a powerful tool that combines math with intuition! Also, remember that probability is rooted in the Law of Large Numbers. This principle states that as the number of trials increases, the actual outcomes will tend to get closer to the expected probabilities. So the more spins Sophia makes, the more accurately her outcomes will reflect the theoretical probabilities!