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 requires: 1) A fixed number of independent trials, 2) Only two possible outcomes (success/failure) per trial, 3) Constant probability of success for each trial.

• The first option has no fixed number of trials.
• The second option has no fixed number of trials.
• The third option has 10 fixed trials, two outcomes (heads/tails), independent flips with constant probability of heads.
• The fourth option records age, not a binary trial outcome.

Answer:

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