In a software development project, the probability that a developer will complete a specific task on time is 0.214 , and the probability that the task will be reviewed on time by the quality assurance team is 0.292 . The probability that both events occur simultaneously is 0.117 , What is the probability that either the developer will complete the task on time or the task will be reviewed on time (or both)? A 0.389 B 0.4279 C 0.3501 D 0.4868 E 0.3112

To find the probability that either the developer will complete the task on time or the task will be reviewed on time (or both), we can use the formula for the union of two probabilities: P(A or B) = P(A) + P(B) - P(A and B) Where: - P(A) = probability that the developer completes the task on time = 0.214 - P(B) = probability that the QA team reviews the task on time = 0.292 - P(A and B) = probability that both occur simultaneously = 0.117 Now, substituting the values into the formula: P(A or B) = 0.214 + 0.292 - 0.117 P(A or B) = 0.486 Thus, the correct answer is D) 0.4868. It's a handy reminder that combining probabilities can often illuminate the bigger picture in project timelines, and understanding how tasks interrelate is key to effective planning!