Rounded to the two decimals, determine P(Sophomore | Off-Campus).

Question

Imagine a diagram. In the left circle, it's labeled 0.22 for sophomores. In the right circle its labeled 0.10 for off-campus. In the middle circle it's labeled 0.06

i asked this question before and received the answer of 0.60, when I put it in my quiz for class it was incorrect. I also put 0.06 thinking it was a typo, which is also wrong. please help!!

Answer 1

Well assume you have 100 students

Then sophomore + off campus = 0.06 x 100 = 6 students A

Sophomores + on-campus = 0.22 x 100 = 22

Not sophomores + off-campus = 0.10 x 100 = 10 B

So off campus there must be 6 + 10 = 16 students (A + B)

Of these 16, 6 are sophomores (A)

So probability = 6 / 16 = 0.38 (2 decimal places)

[think this is correct but can't be sure without the diagram, have done my best with the information given]