determine the theoretical probability of landing on g on each spinner. (4 points)

Explanation:

Step1: Calculate for first spinner

The first spinner has 4 sections, 3 of which are G. Probability formula is $P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P_1=\frac{3}{4}= 0.75$.

Step2: Calculate for second spinner

The second spinner has 8 sections, 4 of which are G. Using the probability formula, $P_2=\frac{4}{8}=\frac{1}{2}=50%$.

Step3: Calculate for third spinner

The third spinner has 10 sections, 3 of which are G. So $P_3=\frac{3}{10} = 30%$.

Step4: Calculate for fourth spinner

The fourth spinner has 12 sections, 4 of which are G. Then $P_4=\frac{4}{12}=\frac{1}{3}$.

Answer:

0.75, 50%, 30%, $\frac{1}{3}$