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Engineering, 22.03.2020 16:26 oopfloop2

8) A student registered for studying Statistics and Mathematics. The probability of passing Statistics is 0.72 and the probability of passing Mathematics is 0.75. If the student passes Mathematics, the probability that he passes Statistics also is 0.80.
a) What is the probability that the student will pass the two courses?
b) If it is known that the student has already passed Statistics, what be the probability that he passes Mathematics also?
c) What is the probability that the student passes at least one of the two courses?
d) What is the probability that the student passes only one of the two courses?
e) What is the probability that the student passes at most one of the two courses?
f) What is the probability that that the student fails the two courses?

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