asked 230k views
1 vote
A study found 72% of ppl wear seat belts . if three ppl are selected at random, find the probability that all three wear their seat belts. would you consider this likely or unlikely to occur?

asked
User Rvalue
by
7.9k points

1 Answer

4 votes

Final answer:

The probability of all three people wearing their seat belts is approximately 37.32%, which is somewhat likely to occur.

Step-by-step explanation:

To find the probability that all three people wear their seat belts, we multiply the probabilities of each person wearing a seat belt together. The probability that one person wears a seat belt is 72%, so the probability that all three people wear their seat belts is (0.72) * (0.72) * (0.72) = 0.373248, or approximately 37.32%.

This probability can be considered somewhat likely to occur, as it is above 30%. However, it is not extremely likely, as it is still less than 50%.

answered
User EMdOS
by
8.7k points
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