Binomial vs 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 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

Multiply: (x + 7)(x + 9)

Mathematical Equivalence

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CCSS.HSA.APR.A.1

If we want to calculate the probability of rolling a 6 for the first time on the 6^th roll of a die, would we use the geometric or the binomial distribution?

• geometric

• binomial

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

A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that at least 8 of the 9 participants will correctly identify the tap water?

• Binomial

• Geometric