Question

which of the following is a binomial experiment?

• flipping a coin until it comes up tails
• flipping a coin until 8 heads are recorded
• flipping a coin 10 times and recording if it comes up heads
• flipping a coin by 10 different people and recording the age of each person

Explanation:

A binomial experiment has fixed number of trials, independent trials, two outcomes (success/failure), and constant probability.

• "Flipping until tails" has variable trials.
• "Flipping until 8 heads" has variable trials.
• "Flipping 10 times, record heads" has 10 fixed trials, independent flips, 2 outcomes (heads/tails), constant probability (0.5 for fair coin).
• The last option records age, not related to coin flip outcomes.

Answer:

Flipping a coin 10 times and recording if it comes up heads