The probability that a student will pass mathematics is 0.8, that she will pass physics is 0.65 and that she will pass both courses is 0.6. Find the probability that  (a) she will pass at least one of the two courses.  (b) she will pass physics but not mathematics. (c) she will fail both courses. Please include how to came to the answer and not just the answer

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The probability that a student will pass mathematics is 0.8, that she will pass physics is 0.65 and that she will pass both courses is 0.6. Find the probability that 

(a) she will pass at least one of the two courses. 

(b) she will pass physics but not mathematics.

(c) she will fail both courses.


Please include how to came to the answer and not just the answer

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