A recent poll found that 35% 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?
1 answer:
The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225
The probability a surveyed driver is worried = 35%
- Number of people surveyed = 3
Since the probability of being worried is independent ;
- Probability = P(A) × P(B) × P(C)
The probability that all 3 surveyed are worried :
- P(worried) × P(worried) × P(worried)
- (0.35 × 0.35 × 0.35) = 0.1225
Therefore, the probability that all three people surveyed are worried is : 0.1225
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