Asurgical technique is performed on 10 patients. you are told there is an 80% chance of success. find the probability that the surgery is successful for exactly 6 patients.

group of answer choices

0.088

0.0328

0.1208

0.9672

Probability that the surgery is successful for exactly 6 patients is 0.088.

Step-by-step explanation:

The total number of patients is 10 and the probability of success is 0.8.

We have to determine the probability of success of the surgery of exactly 6 patients.

6 patients can be selected from 10 patients in  ways.

=210

Let us consider a combination SSSSSSFFFF where S denotes success and F denotes failure. The probability of this combination is given by

 since the chance of success is 0.8 and chance of failure is 0.2.

There are 210 such different combinations possible and the probability of every combination is the same. So we have to sum up all the probabilities to determine the final probability.

Therefore the probability that surgery is successful for 6 patients is

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