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MATH 125 Probability Homework Problem 1.

math 125 Probability HomeworkProblem 1. Assume that P(A) = and P(B) = for all parts of this Problem . Find the following probabilities:a.) What is P(B )?P(B ) = 1 - P(B) = 1 - = ) Given that P(A and B) = , find P(A or B).P(A or B) = P(A) + P(B) - P(A and B) = + - = ) If A and B are mutually exclusive, what is P(A and B)?By the definition of mutually exclusive, that is ) If A and B are mutually exclusive, what is P(A or B)?P(A or B) = P(A) + P(B) - P(A and B) = + - = ) Given that P(A or B) = , find P(B*A).Two steps (A or B) = P(A) + P(B) - P(A and B) = + - P(A and B) = P(A and B)Now we use:P(A and B)= P(A) P(B*A) = P(B*A) = P(B*A)f.

the probability of passing the physical exam is 0.85 and that once the physical exam is passed the probability of passing the written exam is 0.60. a) What is the probability that Janice passes both exams? A direct translation of the language above is This: P(Pass Physical) = 0.85.

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