Answer:
the conditions of a fixed number of trials and independent trials are violated
Explanation:
The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials. To determine which property of the binomial distribution is violated in this scenario, we need to consider the conditions required for a random variable to follow a binomial distribution: 1. Fixed number of trials: In the given scenario, the number of trials is not fixed. Since you are randomly selecting a marble from the jar without replacement, the number of marbles in the jar decreases with each selection. Therefore, the condition of a fixed number of trials is violated. 2. Independent trials: The trials are considered independent when the outcome of one trial does not affect the outcome of another trial. In this scenario, the trials are not independent because you are selecting marbles without replacement. Each selection affects the probability of the next selection, as the number of red and green marbles changes. Therefore, the condition of independent trials is also violated. Based on these considerations, both the conditions of a fixed number of trials and independent trials are violated in this scenario, making it incompatible with the binomial distribution.