The probability that the question on the exam ticket is standard is 0.95%.
| March 12, 2021 | education
The probability that the question on the exam ticket is standard is 0.95%. Find the probability that at least one of the three questions on the ticket is non-standard.
The probability that at least one of the three questions on the ticket is non-standard is:
Рс = 1 – Р, where Р1 is the probability that all questions in the ticket are standard.
The probability that all questions in the ticket are standard (the theory of multiplication of inconsistent events):
P = P1 * P2 * P3, where P1 = P2 = P3 = 95% = 0.95.
P = P1 * P2 * P3 = 3P1 = 0.95 * 0.95 * 0.95 = 0.857375.
Pc = 1 – P = 1 – 0.857375 = 0.142625 ≈ 14.3%.
Answer: The probability that at least one of the three questions on the ticket is non-standard is 14.3%.
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