A recent poll found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road?
A) 0.900
B) 0.027
C) 0.081
D) 0.300

Question

Quizplus · Accepted Answer

Since the events are independent, we can use the multiplication rule of probability. 
The probability that the first person selected is worried about aggressive drivers on the road is 0.3. 
Similarly, the probability that the second person selected is worried about aggressive drivers on the road is also 0.3, and so is the probability for the third person. 
Therefore, the probability that all three people will be worried about aggressive drivers on the road is:
0.3 × 0.3 × 0.3 = 0.027

A Recent Poll Found That 30% of Those Surveyed Are