A group of people were asked whether they prefer soup or salad for lunch. The table shows the probabilities of the results. Let A represent having soup and B represent having salad for lunch. Which statement is true?
Having soup and salad for lunch are not independent events because
P(A|B) = P(A) and P(B|A) = P(B).
Having soup and salad for lunch are independent events because P(A|B)
and P(B|A) = P(B).
P(A)

Having soup and salad for lunch are independent events because P(A|B) # P(A)
and P(B|A) # P(B)
Having soup and salad are not independent events because P(A|B) # P(A) and
P(B|A) #P(B) NOTE: # means is not equal to