A would not be correct since given they are a freshman and the probability of them failing would be 0.06 or 6% since the fraction is 8 out 145. 8 out of 145 equates to 6% or 0.06 when rounded to the nearest hundredth.
B is correct since the probability that a student is a sophomore given that they pass is 0.90 if rounded to the nearest hundredth. This would be correct since 111 out of 124 is 0.895, then we round it to the nearest hundredth, that means it is 0.90 probability or 90% that a sophomore passes.
C is correct since it is the same as B but just reworded to the context in which what the probability is for a student to pass given that they are a sophomore.
D would not be correct as it is also worded different but is the same as A. The probability of a student who is a freshman given that they failed is 0.06 or 6%, so D isn't correct.
E would be correct depending on the way we round it since, 13 out of 124 is .1048, if we didn't round the ten thousandths place to the thousandths and then we can raise the hundreds place to 1. In this case, I would say it is correct since it is very close to 10% or .10
F would be correct since the probability of a freshman failing is 0.06 and all we need to do to find the passing probability is subtract 0.06 from 1.
1 - 0.06 = 0.94. Thus the probability that the student passed given that they are a freshman is 0.94 or 94%.
Correct Answers List: B, C, E, and F.
