# Question

A software company is about to release three new software programs, one from each of three very distinct business divisions. The first program is a new game aimed at 15-to 25-year-olds.Its probability of succeeding is estimated to be 0.34. The second program is an accounting application for small business. Its probability of succeeding is estimated to be 0.12. The third program is a payroll system designed for government organizations. Its probability of succeeding is 0.10. ("Success" is defined as earning enough profits to fully recover development, production, and marketing costs within one year.) What is the probability that all three software programs will succeed? What is the probability that at least two out of three of them will succeed? You may assume that the success of each product is independent of the success of the others.

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