Final answer:
To find the probability that at least one out of four randomly selected people has blond hair, we calculate the complement probability that none of the four have blond hair (78% each) and subtract it from one.
Step-by-step explanation:
The question is asking for the probability that at least one out of four randomly selected people has blond hair, given that 22% of people have blond hair. To solve this, we can use the complement rule which states that the probability of an event happening is equal to one minus the probability of it not happening. In this case, it's easier to calculate the probability that none of the four people have blond hair and subtract it from one.
First, we find the probability that one person does not have blond hair, which is 1 - 0.22 = 0.78 or 78%. Then, since the people are chosen randomly and independently, we raise this probability to the fourth power to find the probability that all four people do not have blond hair:
0.784.
The probability that at least one person has blond hair is therefore: 1 - 0.784. Calculating that gives us an answer which is the desired probability.