Which of these situations can be considered a binomial experiment?

A.

Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

B.

Asking 25 students how tall they are and recording their answers

C.

Rolling a single number cube until you get a 5

D.

Tossing a coin 50 times and recording the number of times it lands on heads

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure.

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B. Asking 25 students how tall they are and recording their answers

There are not two options

C. Rolling a single number cube until you get a 5

There are not two options

D. Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.