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A student makes two tests in the same day. The probability of the first passing is...

A student makes two tests in the same day. The probability of the first passing is 0.6, the probability of the second passing is 0.8 and the probability of passing both is 0.5. Calculate:
a) Probability that at least one test passes.
b) Probability that no test passes.
c) Are both events independent events? Justify your answer mathematically.
d) Probability that the second test will pass if the first test has not been passed.

Math   Statistics-And-Probability   
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