Communications products (telephones, fax machines, etc.) can be designed to operate on either an analog or a digital system. Because of improved accuracy, a digital signal will soon replace the current analog signal used in telephone lines. The rcsult will be a flood of new digital products for cons'umers to choose from

(Newsweek, Nov. 16, 1992). Suppose a particular firm plans to produce a new fax machinc in both analog and digital forms. Concerned with whether the products will succeed or fail in the marketplace, a market analysis is conducted that results in the sample points and associated probabilities of occurrence listed in the table (S,: analog succeeds, Fa: analog fails, etc.). Find the probability of each of the following events:

A: (Both new products are successful]

B: (The analog design is successful}

C: {The digital design is successful}

D: (At least one of the two products is successful]