A group of people were asked whether they prefer soup or salad for lunch. The table shows the probabilities of the results.
| soup | no soup | total | |
| salad | 0.2 | 0.6 | 0.8 |
| no salad | 0.05 | 0.15 | 0.2 |
| total | 0.25 | 0.75 | 1.00 |
Let A represent having soup and B represent having salad for lunch. Which statement is true?
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(A) Having soup and salad are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
(B) Having soup and salad for lunch are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
(C) Having soup and salad for lunch are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
(D) Having soup and salad for lunch are independent events because P(A|B)=P(A) and P(B|A)=P(B) .
