Based on historical data, it is estimated that 12% of new products will obtain a profitable market share. However, if two products are newly introduced in the same year, there is only a 5% chance of both products becoming profitable. A company is planning to market two new products, 1 and 2, this coming year. What is the probability of
(a) only product 1 becoming profitable?
(b) only product 2 becoming profitable?
(c) at least one of the products becoming profitable?
(d) neither product becoming profitable?
(e) either product 1 or product 2 (but not both) becoming profitable?
(f) product 2 becoming profitable if product 1 is found to be profitable?