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If the probability of observing a car in 30 minutes on a highway is 0.95, what is the probability of observing a car in 10 minutes (assuming constant default probability)?

- scholar2002
**Posts:**357**Joined:**Fri Dec 18, 2009 11:53 pm

Question: The probability of a car passing a certain intersection in a 20 minute windows is 0.9. What is the probability of a car passing the intersection in a 5 minute window? (Assuming a constant probability throughout)

Answer: This is one of the basic probability question asked in a software interview. Let’s start by creating an equation. Let x be the probability of a car passing the intersection in a 5 minute window.

Probability of a car passing in a 20 minute window = 1 – (probability of no car passing in a 20 minute window)

Probability of a car passing in a 20 minute window = 1 – (1 – probability of a car passing in a 5 minute window)^4

0.9 = 1 – (1 – x)^4

(1 – x)^4 = 0.1

1 – x = 10^(-0.25)

x = 1 – 10^(-0.25) = 0.4377

Ref:

http://www.mytechinterviews.com/probability-of-a-car-passing-by

Answer: This is one of the basic probability question asked in a software interview. Let’s start by creating an equation. Let x be the probability of a car passing the intersection in a 5 minute window.

Probability of a car passing in a 20 minute window = 1 – (probability of no car passing in a 20 minute window)

Probability of a car passing in a 20 minute window = 1 – (1 – probability of a car passing in a 5 minute window)^4

0.9 = 1 – (1 – x)^4

(1 – x)^4 = 0.1

1 – x = 10^(-0.25)

x = 1 – 10^(-0.25) = 0.4377

Ref:

http://www.mytechinterviews.com/probability-of-a-car-passing-by

- googler
**Posts:**95**Joined:**Sun Jun 06, 2010 7:28 pm

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