A medicine is known to be 75% effective to cure a patient. If the medicine is given to 5 patients, what is the probability that at least one patient is cured by this medicine?

Options

A. `(1)/(1024)`
B. `(243)/(1024)`
C. `(1023)/(1024)`
D. `(781)/(1024)`

Answer

C

Explanation

Probabilty of medicince to cure a patient `= (75)/(100) = (3)/(4)`
Probability of curing at least one patient .
`= 1-[1-(3)/(4)]^(5) = 1- ((1)/(4))^(5) = 1-(1)/(1024)= (1023)/(1024)`