Final answer:
The probability of choosing a green marble from a bag containing a total of 16 marbles of which 4 are green is 0.25 or 25%.
Step-by-step explanation:
The question is asking about the probability of randomly choosing a green marble from a bag containing marbles of different colors. To calculate this probability, we need to divide the number of green marbles by the total number of marbles in the bag.
In this case, there are 4 green marbles out of a total of 5 red, 5 blue, 4 green, and 2 yellow marbles. So, there are 5 + 5 + 4 + 2 = 16 marbles in total.
The probability of choosing one green marble is therefore calculated as follows:
- Count the number of green marbles: 4 green marbles.
- Count the total number of marbles: 16 marbles.
- Divide the number of green marbles by the total number of marbles: 4 / 16 = 0.25.
Therefore, the probability of randomly choosing a green marble is 0.25 or 25%.