The events "prefers pink lemonade" and "female" are independent because

P (pink lemonade | female) = P (pink lemonade) = 0.6.

P (female | pink lemonade) = P (pink lemonade) = 0.3.

P (pink lemonade | female) = 0.3 and P (pink lemonade) = 0.6.

P (female | pink lemonade) = 0.3 and P (pink lemonade) = 0.6.

The answer is B I think

Option A is right.

Step-by-step explanation:

Given are two events as "prefers pink lemonade" and "female"

If independent we must have P (female) * P (prefers pink) = P (female and prefers pink)

Let us check from the given options.

A) P (pink lemonade./female) = P (pink lemonade) = 0.6.

this is correct because conditional probability and general probability are the same.

B) P (Pink lemonade/female) = 0.3 not equals P (pink lemonade) Hence incorrect

C) P (female/pink lemonade) = 0.3 and P (pink lemonade) = 0.6 incorrect