A doctor has assigned the following chances to a medical procedure.

full recovery 55%

condition improves 24%

no change 17%

condition worsens 4%

Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.

What is the probability that all five patients will recover completely?

A. 5%

B. 55%

C. 10%

D. 15%

Question

Sylvia Walker

Mathematics

20 September, 09:05

A doctor has assigned the following chances to a medical procedure.

full recovery 55%

condition improves 24%

no change 17%

condition worsens 4%

Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.

What is the probability that all five patients will recover completely?

A. 5%

B. 55%

C. 10%

D. 15%

+3

Answers (1)

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Myers · Answer 1

B. 55%

We multiply the percentage of full recovery by 5, and then multiply 100 (full percent) by 5. We then put full recovery over full percent.

55 * 5 = 275

100 * 5 = 500

275 over 500 simplifies to 11 over 20, which is 55%