Question

you take a trip by air that involves three independent flights. if there is a 90 percent chance each specific leg of the trip is done on time, what is the probability all three flights are late?
a. 0.001
b. 0.270
c. 0.729
d. 0.271
e. 0.810

Explanation:

Step1: Find single flight late prob

$P(\text{late}) = 1 - 0.90 = 0.10$

Step2: Calculate joint late prob

$P(\text{all 3 late}) = 0.10 \times 0.10 \times 0.10 = 0.10^3$

Step3: Compute final value

$0.10^3 = 0.001$

Answer:

a. 0.001