probability problems, Mathematics

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A school principal is looking at the combinations of subjects students are studying.

He learns that the probability that a student is studying Chemistry is 0.5 and that the probability that a student is studying Physics is 0.1. He has also found that the probability that a student is studying Chemistry given that they are studying Physics is 0.7.

(a) What is the probability that a student is studying both Chemistry and Physics ?

(b) What is the probability that a student is studying Physics given that they are studying Chemistry ?

(c) What is the probability that a student is studying Chemistry or Physics or both ?

 


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