Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. he designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. he then repeats the process seven times. which statement must be true? the experiment is not a binomial experiment because there is not a fixed number of drawings. the experiment is not a binomial experiment because the probability of choosing a green marble is the same for each drawing. the experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing. the experiment is not a binomial experiment because there are only two possible outcomes for each drawing

The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.

Step-by-step explanation:

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.

The outcome of each trial/run of a binomial experiment is independent of one another.

For this question, the outcome of each trial is dependent on the trials before it and the probability of success changes with each trial as the drawing of marbles is done without replacement.

It is obvious that amongst the options provided, the right answer amongst them all is that this experiment isn't a binomial experiment because the the probability of choosing a green marble is not the same for each drawing.

Hope this Helps!!!

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~coco