Step by step

Question

at a certain college 13% of students speak Spanish ,7% speak Italian, and 3% speak both languages. A studen is chosen at random from the college. What is the probability that the student speaks Spanish given that he or she speaks italian

Answer 1

Conditional probability 

 

let P(I) = 0.07, P ( S & I) = 0.03 and P (S) = 0.13

 

Finally to find P ( S  given I )

 

we use the theorem

 

P ( S given I ) = P (S & I) / P (I)

 

=  0.03 / 0.07

 

= 0. 4285

 

 = 0.43