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Defects can occur anywhere on the wheel of a car during the manufacturing process. If X is the angle where the defect​ occurs, measured from a reference​ line, then X can be modeled as a uniform random variable on the interval from 0 to 360degrees.

​a) What is the probability that the defect is found between 0 and 153​degrees?
​b) What is the probability that the defect is found between 0 and 45 degrees or between 315 
and 360 ​degrees?

The probability is  (153 - 0)* 1/360  = 0.425

The second problem is a union of two events. 

1/360*(45-0) + 1/360*(360-315)  = 0.25

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