A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time. If the first method is successful, the second method is successful 90% of the time. If the first treatment is not a success, the second is 25% of the time. What is the probability that only the second treatment is successful?

Respuesta :

The probability that only the second treatment is successful is 0.05.

How to calculate the probability?

From the information given, it was stated that the doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time and if the first method is successful, the second method is successful 90% of the time.

The probability that only the second treatment is successful will be:

= (1 - 0.8) × 0.25

= 0.2 × 0.25

= 0.05

Therefore, the probability that only the second treatment is successful is 0.05.

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