The dealers lot contains 40 cars arranged in 5 rows and 8 co

The dealer\'s lot contains 40 cars arranged in 5 rows and 8 columns. We pick
one car at random. Are the events A = the car comes from an odd-numbered row
and B = the car comes from one of the last 4 columns independent? Prove
your point of view.

Your proof should involve P(AB) = P(A)P(B) or P(A | B) = P(A) etc

Solution

P(A) = (3*8)/(5*8) = 3/5

P(B) = (4*5)/(8*5) =1/2

P(AB) = (3*4)/(8*5) = 3/10

so P(AB) = P(A) P(B) hence A & B are independent