which of the following is a binomial experiment?\nrolling a six - sided number cube 24 times and recording…

which of the following is a binomial experiment?\nrolling a six - sided number cube 24 times and recording if a 4 comes up\nrolling a six - sided number cube and recording the number until a 4 comes up\nrolling a six - sided number cube and recording the number until an even number comes up\nrolling a six - sided number cube 24 times and recording the number that comes up

which of the following is a binomial experiment?\nrolling a six - sided number cube 24 times and recording if a 4 comes up\nrolling a six - sided number cube and recording the number until a 4 comes up\nrolling a six - sided number cube and recording the number until an even number comes up\nrolling a six - sided number cube 24 times and recording the number that comes up

Answer

Brief Explanations:

A binomial experiment has a fixed number of trials, each trial has only two possible outcomes (success or failure), the probability of success is constant for each trial, and the trials are independent. Rolling a six - sided number cube 24 times and recording if a 4 comes up meets these criteria. The fixed number of trials is 24, success is getting a 4 and failure is not getting a 4, the probability of getting a 4 on each roll is $\frac{1}{6}$ (constant), and the rolls are independent. In the second option, the number of trials is not fixed. In the third option, the number of trials is not fixed. In the fourth option, there are 6 possible outcomes per roll, not 2.

Answer:

Rolling a six - sided number cube 24 times and recording if a 4 comes up