Final answer:
The probability of drawing a marble again is influenced by whether the marble is replaced after each draw. Without replacement, the number of marbles changes, thus affecting the probability, while with replacement, the probability remains constant due to the independence of draws.D is the correct .
Step-by-step explanation:
The question pertains to the concept of probability and how it changes when an event, like drawing a marble, is performed with or without replacement. When a marble is drawn and not replaced, the total number of marbles in the bag decreases, which changes the probability for subsequent draws.
In contrast, if the marble is replaced after each draw, the total number of marbles stays the same, resulting in a consistent probability for drawing any particular color.
Therefore, the probability of drawing a marble again: A) Depends on the number of marbles in the bag if marbles are not replaced, which would apply to Maria and Mark's scenarios. B) Is not affected by the color of the marble drawn previously if we are not considering conditional probabilities. C) Does not necessarily increase with each draw; it can increase, decrease, or stay the same, depending on the outcome of previous draws and whether the marble is replaced. D) Is unrelated to previous draws due to independence if the marble is replaced after each draw, which applies to James's scenario.