Two project teams are assigned to upgrade an on-premise data warehouse to a cloud-based data lake in 13 months. The infrastructure team has five team members, while the enterprise analytics team has three team members. The enterprise analytics team cannot move into production until the infrastructure team has completed the migration. What should be used to find the probability that the project will be completed on time?

The multiplication principle applies to scenarios where independent events occur, allowing the calculation of the total number of outcomes by multiplying the number of ways each event can occur. However, in this case, the enterprise analytics team’s work depends on the infrastructure team’s completion, making the events dependent rather than independent, thus rendering the multiplication principle unsuitable.

Bayes’ theorem is utilized to update the probability of a hypothesis based on new evidence and is often applied in scenarios involving prior knowledge. While it is a powerful tool for conditional events, it is more complex than necessary for this situation, where straightforward conditional probability is sufficient to evaluate the dependency between the two teams.

The combination formula is used to determine the number of ways to choose items from a larger set, focusing on selection rather than the probability of dependent events. Since this question is about project completion and dependencies rather than selecting team members or outcomes, combinations do not apply here.