In an ablation procedure, the probability of acute success (determined at com- pletion of the procedure) is 0.95 when an image mapping system is used. Without the image mapping system, the probably of acute success is only 0.80. Suppose that Patient A is given the treatment with the mapping system and Patient B is given the treatment without the mapping system. Determine the following probabilities:

a. Both patients A and B had acute successes.

b. A had an acute success but B had an acute failure.

c. B had an acute success but A had an acute failure.

d. Both A and B had acute failures.

e. At least one of the patients had an acute success.

f. Describe two ways that the result in (e) can be calculated based on the re- sults from (a), (b), (c), and (d).