At a certain gas station, the probability that an automobile needs an oil change is 0.49, the probability that it needs a new oil filter is 0.47, and the probability that both the oil and the filter needs changing is 0.2. Given that an automobile does NOT need oil change, what is the conditional probability that it needs a new oil filter? Round your answer to a number with two decimal digits after the decimal point. For example if your answer is 1/40, which is equal to 0.025, then you should enter 0.03. (Do NOT use decimal comma; 0,03 would be wrong.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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At a certain gas station, the probability that an automobile needs an oil change is 0.49, the probability that it needs a new oil filter is 0.47, and the probability that both the oil and the filter needs changing is 0.2.

Given that an automobile does NOT need oil change, what is the conditional probability that it needs a new oil filter?

Round your answer to a number with two decimal digits after the decimal point. For example if your answer is 1/40, which is equal to 0.025, then you should enter 0.03.

(Do NOT use decimal comma; 0,03 would be wrong.)

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