GRE Probability Practice Questions

A shipping company uses 3 trucks to transport freight. Each truck has a 20% chance of breaking down during a shipment. Assuming breakdowns are independent, what is the probability that at least one truck breaks down during a shipment?

A shipment contains 12 packages: 4 are marked 'Fragile' and 8 are not. If two packages are selected at random without replacement, what is the probability that at least one is marked 'Fragile'?

A shipping company has 5 independent freight containers, each with a 0.2 probability of being delayed in transit. Using the complementary probability technique, what is the probability that at least one container experiences a delay?

A freight terminal has 9 containers ready for shipment: 4 are refrigerated and 5 are non-refrigerated. If a logistics manager randomly selects 3 containers, what is the probability that at least one of them is refrigerated?

A freight company processes 1,200 shipments daily, with quality control estimating that 2% of shipments are defective. If a random sample of 15 shipments is selected, what is the probability that at least one shipment in the sample is defective?

A freight company delivers packages to 3 different cities. Each package has an independent 30% chance of being delayed in transit. What is the probability that at least one of the 3 packages is delayed?

A freight shipping company has 8 experienced workers and 5 trainees. How many different 4-person crews can be formed that include at least 2 experienced workers?

A freight company ships packages through three carriers: Carrier A, Carrier B, and Carrier C. The probability that a package is delayed by Carrier A is 0.2, by Carrier B is 0.3, and by Carrier C is 0.4. If a package is shipped through all three carriers independently, what is the probability that the package is delayed by at least one carrier?

A freight shipment contains 5 packages labeled A, B, C, D, and E. Each package has a 20% chance of being damaged during transit. What is the probability that at least one package is damaged?

A freight company transports 10 packages daily. Each package has an independent 10% chance of being damaged during transit. What is the probability that at least one package is damaged on a given day?