A bag contains a red, a green, and a purple marble. In which distributions does the variable X have a binomial distribution? Select each correct answer

The correct options are options B and C.
binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes-no question, and each with its own Boolean-valued outcome: success or failure.
We can observe that options B and C are the examples of binomial distribution:
When a marble is selected four times in a row with replacement, X is the number of marbles that are not green.
And
When a marble is selected three times in a row with replacement, X is the number of marbles that are green.
Learn more about Binomial Distribution:
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