SOLUTION: Question 1: In a large population, 63 % 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
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Question 468803: Question 1: In a large population, 63 % 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?
You can put this solution on YOUR website! The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.
The sum of all probabilities must equal 1.
Let Q be probability none of the 4 are vaccinated.
Let P be probability that at least 1 is vaccinated.
P = 1 - Q
Now if 63% are vaccinated, then 37% are not vaccinated.
Thus any given person has a probability of 0.37 of not being vaccinated.
Q = (0.37)^4 = 0.0187
P = 1 - 0.0187 = 0.981
