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Conditional Probability

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A school principal is looking at the combination 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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This solution contextualizes conditional probability.

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