Final answer:
The probability that an SAT exam will be checked for errors only on the math section is 0.9 or 90%, calculated by dividing the number of math-only checked exams (450,000) by the total number of exams (500,000).
Step-by-step explanation:
The probability that an exam will be checked for errors only on the math section can be found by calculating the ratio of the number of math-only checks to the total number of exams. Given that there are 500,000 exams in total and all of them are checked for errors only on the math section while 50,000 are checked thoroughly (both English and math sections), we subtract the thoroughly checked exams from the total to find the exams checked only for math.
Math-only checked exams = Total exams - Thoroughly checked exams = 500,000 - 50,000 = 450,000
Probability = Math-only checked exams / Total exams = 450,000 / 500,000
Probability = 0.9 or 90%
Hence, the probability that an exam will be checked for errors only on the math section is 0.9 or 90%.