Two different chemotherapy regimens can be used to treat breast cancer. Treatment with doxorubicin is known to show a remission rate 40% of the time. This treatment costs $1,000. The other treatment, docetaxel, shows a remission rate 25% of the time and costs $850. The two treatment plans are: Plan A: Treat with doxorubicin. If not effective, treat with docetaxel. Plan B: Treat with docetaxel. If not effective, treat with doxorubicin. Based on the data provided, what is the probability that a patient treated under plan A will show remission?

Question

Mathematics

Misael Glover

17 August, 08:58

Two different chemotherapy regimens can be used to treat breast cancer. Treatment with doxorubicin is known to show a remission rate 40% of the time. This treatment costs $1,000. The other treatment, docetaxel, shows a remission rate 25% of the time and costs $850. The two treatment plans are: Plan A: Treat with doxorubicin. If not effective, treat with docetaxel. Plan B: Treat with docetaxel. If not effective, treat with doxorubicin. Based on the data provided, what is the probability that a patient treated under plan A will show remission?

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Elisa Cardenas · Answer 1

Plan a starts with the more expensive option and falls back on the cheaper option. order does not matter as multiplication is communative. so you have a 40% chance on the first one or a 2/5 chance. the second option is a 25% chance or a 1/4.

together their chance is

(2/5) (1/4) =

calculate anf convert to percent