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.

Question

Mathematics

Roger Jordan

9 November, 22:35

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.

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Answers (1)

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Emiliano Mills · Answer 1

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

A binomial experiment requires that the probability of the outcomes be the same. So, the answer is the third option.