3f) Using a bag that has 12 green marbles, one white, and 14 gold marbles, find the probability.

To find the probability of drawing a specific color marble from the bag, we need to calculate the probability of drawing a green marble, a white marble, and a gold marble separately. Given: - Total number of marbles in the bag = 12 green + 1 white + 14 gold = 27 marbles Let's calculate the probability of drawing each color marble: 1. Probability of drawing a green marble: \[ P(\text{green}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} = \frac{12}{27} \] 2. Probability of drawing a white marble: \[ P(\text{white}) = \frac{\text{Number of white marbles}}{\text{Total number of marbles}} = \frac{1}{27} \] 3. Probability of drawing a gold marble: \[ P(\text{gold}) = \frac{\text{Number of gold marbles}}{\text{Total number of marbles}} = \frac{14}{27} \] Therefore, the probabilities of drawing a green marble, a white marble, and a gold marble from the bag are \( \frac{12}{27} \), \( \frac{1}{27} \), and \( \frac{14}{27} \) respectively.