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.

• First option: Number of trials is not fixed (until tails), so not binomial.
• Second option: Number of trials is not fixed (until 8 heads), so not binomial.
• Third option: Flipping 10 times (fixed trials), each flip independent, two outcomes (heads/tails), probability of heads constant. This fits.
• Fourth option: Recording age, not related to coin flip outcomes, so not binomial.

Answer:

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