In a study of 20 individuals participating in an experimenta

In a study of 20 individuals participating in an experimental medical procedure the probability of each individual surviving the procedure is .82. If the procedure is performed on all 20 participants at the same time compute the probability that at least one does not survive the procedure.

Solution

probability of not surviving is 0.18

as probability of surviving is 0.82 therefore 1-0.82 = 0.18

now we have to find the probability that at least one did not survive the test which will be equal to (1 - probability of all 20 surviving the test)

therefore 1 - 20C1(0.82)^20

= 1 - 20(0.82)^20 = 0.623