Final answer:
Picking a red marble and picking a green marble are mutually exclusive events because a marble cannot be both colors at once. The probability of picking either a red or green marble is determined by adding their individual probabilities, resulting in a combined probability of 48%.
Step-by-step explanation:
In terms of probability, two events are considered mutually exclusive if they cannot occur at the same time. In this case, picking a red marble and picking a green marble from the bag are mutually exclusive events because a single marble picked at random cannot be both red and green simultaneously.
It is possible to work out P(red or green) because these events are mutually exclusive, and the probability of either event occurring can be calculated by adding their individual probabilities. Hence, P(red or green) = P(red) + P(green), which is 35% + 13% = 48%. Therefore, the probability of picking either a red or green marble is 48%.