8
QuizMultiple Choice

N/A — Exam

Question 8 • Algebra II

Which of the following is a binomial experiment?

Answer
A
Rolling a six-sided number cube 24 times and recording the number that comes up
B
Rolling a six-sided number cube and recording the number until a 4 comes up
C
Rolling a six-sided number cube 24 times and recording if a 4 comes up
D
Rolling a six-sided number cube and recording the number until an even number comes up

Explanation

A binomial experiment has a fixed number of trials, two possible outcomes on each trial, and the same probability of success each time. In choice C, there are 24 rolls, and each roll can be recorded as either a 4 or not a 4; the probability of a 4 is 1/6 on every roll. The other choices either record six possible outcomes or continue rolling until an event occurs, so they do not meet these conditions.

AI-written and checked against the verified answer.

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