In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1160 customers, the following record was kept:
Sale No Sale Row total
Agressive 281 299 580
Passive 497 83 580
Column Total 778 382 1160

Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa = passive approach, S = sale, N = no sale. So P(A) is the probability that an aggressive approach was used, and so on.
a. compute P(S), P(S|A) and P(S|Pa)