Answer:
≈ 0.918
Step-by-step explanation:
Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.
P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)
Find the probability that they all choose a different type of overcoat.
Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.
P(at least 2 ladies choose the same) =
1 − P(all choose different)
≈ 1 − 0.0820
≈ 0.918
The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.
