If two events a and b are independent and you know that p(a) = 0.70, what is the value of p(a | b)?

Hello : 
note 1 : 
 p(A|B) = p(A∩B)/ p(B)(1)

note 2 : 
 A and B independent: p(A∩B) = p(A)×p(B)(2)
subsct in (1) :  p(A|B) = p(A∩B)/ p(B)
                                   =  (p(A)×p(B))/p(B)
    p(A|B) = p(A) = 0.70