To find the experimental probability that the next marble selected from the bag will be green, we need to know the total number of marbles and the number of green marbles that have already been pulled.
Diane has pulled:
- 2 green marbles
- 10 other marbles (not green)
Thus, the total number of marbles pulled is:
\[ 2 + 10 = 12 \]
According to the experimental probability formula, the probability \( P \) of an event is given by:
\[ P(\text{event}) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}} \]
In this case, the number of favorable outcomes (the number of green marbles already pulled) is 2, and the total number of outcomes (the total number of marbles pulled) is 12. Therefore, the probability that the next marble selected will be green is:
\[ P(\text{green}) = \frac{2}{12} \]
Now, we simplify the fraction:
\[ P(\text{green}) = \frac{2 \div 2}{12 \div 2} = \frac{1}{6} \]
Thus, the experimental probability that the next marble selected from the bag will be green is:
\[ P(green) = \frac{1}{6} \]