Question
If Jim spins the spinner 16 times, how many times would you predict the spinner to land on blue based on theoretical probability
chart 4 sections
chart 4 sections
Answers
GPT-4o mini
To determine the predicted number of times the spinner would land on blue if Jim spins it 16 times, we first need to know the probability of landing on blue. Assuming the spinner is divided into 4 equal sections, the theoretical probability of landing on any given section (including blue) is calculated as follows:
1. The probability \( P \) of landing on blue is given by:
\[
P(\text{blue}) = \frac{\text{number of sections that are blue}}{\text{total number of sections}} = \frac{1}{4}
\]
2. Next, to find the expected number of times the spinner lands on blue in 16 spins, we multiply the probability of landing on blue by the total number of spins:
\[
\text{Expected number of blue} = P(\text{blue}) \times \text{total spins} = \frac{1}{4} \times 16 = 4
\]
Therefore, based on theoretical probability, we would predict that the spinner will land on blue approximately **4 times** out of 16 spins.
1. The probability \( P \) of landing on blue is given by:
\[
P(\text{blue}) = \frac{\text{number of sections that are blue}}{\text{total number of sections}} = \frac{1}{4}
\]
2. Next, to find the expected number of times the spinner lands on blue in 16 spins, we multiply the probability of landing on blue by the total number of spins:
\[
\text{Expected number of blue} = P(\text{blue}) \times \text{total spins} = \frac{1}{4} \times 16 = 4
\]
Therefore, based on theoretical probability, we would predict that the spinner will land on blue approximately **4 times** out of 16 spins.