EN.553.310 Probability and Statistics for the Physical Sciences & Engineering Final Exam Review Q & S 2026 (Complete And Verified Study material) (27pages) LEARNEXAMS

1. Multiple Choice: If a fair die is rolled three times, what is the probability of getting a six on at least one roll? a) 1/6 b) 1/216 c) 91/216 d) 125/216 Correct Answer: c) 91/216 Rationale: The probability of not getting a six on a single roll is 5/6. Therefore, the probability of not getting a six in three rolls is (5/6)^3 = 125/216. The probability of getting at least one six is 1 - 125/216 = 91/216. 2. True/False: Two events A and B are independent if P(A ∩ B) = P(A)P(B). Answer: True Rationale: By definition, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other, which is mathematically expressed as P(A ∩ B) = P(A)P(B)