At a certain college, 13% of students speak Spanish, 7% speak Italian, and 3% speak both languages. A studentis chosen at random from the college. What is the probability that the student speaks Spanish given that he orshe speaks Italian?
A) 0.429
B) 0.231
C) 0.040
D) 0.170

Question

Quizplus · Accepted Answer

To find the probability that a student speaks Spanish given they speak Italian, we use the formula for conditional probability: P(A|B) = P(A and B) / P(B). Here, A is the event of speaking Spanish, and B is the event of speaking Italian. Given that P(A and B) = 0.03 (3% speak both) and P(B) = 0.07 (7% speak Italian), P(A|B) = 0.03 / 0.07 = 0.429.

At a Certain College, 13% of Students Speak Spanish, 7