Determine the Appropriate Probability Rule to Use
-At a certain college, 15% of students speak Spanish, 6% speak Italian, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks Italian
A) 0.667
B) 0.267
C) 0.020
D) 0.170

Question

Quizplus · Accepted Answer

The correct rule to use here is the conditional probability formula, which is P(A|B) = P(A and B) / P(B). Given that P(Spanish) = 0.15, P(Italian) = 0.06, and P(Spanish and Italian) = 0.04, we want to find P(Spanish|Italian) = P(Spanish and Italian) / P(Italian) = 0.04 / 0.06 = 0.667.