In an ablation procedure, the probability of acute success (determined at completion 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 results from (a), (b), (c), and (d).