Puzzle | Probability of a Truck Passing
Last Updated :
18 Jan, 2023
The probability of a truck passing a certain intersection in a 20 minute windows is 0.9. What is the probability of a truck passing the intersection in a 5 minute window? (Assuming a constant probability throughout)
Asked in : Google
Solution
Let p be the probability of a truck passing the intersection in a 5 minute window.
Probability of a truck passing in a 20 minute window = 1 – (probability of no truck passing in a 20 minute window)
Probability of a truck passing in a 20 minute window = 1 – (1 – probability of a truck passing in a 5 minute window)^4
0.9 = 1 – (1 – p)^4
(1 – p)^4 = 0.1
1 – p = 10^(-0.25)
p = 1 – 10^(-0.25) = 0.4377
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