SOLUTION: In a large population, 66% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?

Algebra.Com
Question 1196782: In a large population, 66% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that at least one of them has been vaccinated?

Answer by ikleyn(52878)   (Show Source): You can put this solution on YOUR website!
.

The probability that NO ONE of 4 has been vaccinated is  

     =  = 0.01336.


Then the probability under the question is the complement to it

    P = 1 - 0.01336 = 0.98664   (rounded).    ANSWER

Solved.




RELATED QUESTIONS

In a large population, 62% of the people have been vaccinated. If 4 people are randomly... (answered by ikleyn,ewatrrr)
Question 1: In a large population, 63 % of the people have been vaccinated. If 4 people... (answered by ccs2011)
In a large population, 59 % of the people have been vaccinated. If 4 people are randomly... (answered by swincher4391)
In a large population, 51 % of the people have been vaccinated. If 5 people are randomly... (answered by Boreal)
In a large population, 51% of the people have been vaccinated. If 3 people are randomly... (answered by greenestamps)
In a large population, 68 % of the people have been vaccinated. If 3 people are randomly... (answered by Boreal)
In a large population, 63 % of the people have been vaccinated. If 4 people are randomly... (answered by reviewermath)
In a large population, 64 % of the people have been vaccinated. If 4 people are randomly... (answered by ewatrrr,ikleyn,MathTherapy)
if 5% of the population of a large country is math phobic. If 2 people are randomly... (answered by stanbon)