Binomial v. Geometric DIstribution

A computer program has a 99% accuracy rate in detecting viruses. What is the probability that it takes exactly 5 scans to detect the first virus?

• Binomial

• Geometric

A car battery has a 95% chance of starting on any given attempt. What is the probability that the car starts on the second attempt but not on the first?

• Binomial

• Geometric

A factory produces light bulbs, and 90% of them pass quality control. If we randomly select 5 bulbs, what is the probability that exactly 4 of them pass?

• Binomial

• Geometric

A student is flipping a coin repeatedly until they get heads for the first time. What is the probability that it takes exactly 4 flips to get the first heads?

• Binomial

• Geometric

A basketball player continues shooting free throws until they miss. What is the probability that the first miss occurs on the third attempt?

• Binomial

• Geometric

A basketball player makes 70% of their free throws. If they take 8 free throws, what is the probability of making at least 5 of them?

• Binomial

• Geometric

In a multiple-choice test with 4 options per question, if a student guesses on all 10 questions, what is the probability of getting exactly 7 correct?

• Binomial

• Geometric

A software program has a 95% success rate in blocking spam emails. If a user receives 15 spam emails, what is the probability that at least 13 of them are successfully blocked?

• Binomial

• Geometric

In a series of 10 coin flips, what is the probability of getting exactly 3 heads?

• Binomial

• Geometric

A printer produces labels, and 80% of them are error-free. What is the probability that the first defective label occurs on the 6th attempt?

• Binomial

• Geometric