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probability
a certain university, 30% of the students major in mathematics. Of the students majoring in mathematics, 60% are males. Of all the students at the university, 70% are males. A) What is the probability that a student selected at random in the university is male and majors in mathematics? B)What is the probability that a randomly selected student in the university is female or majors in mathematics or both?
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Probability female OR majors in math: P(F Or M)=P(F)+P(M)-P(F and M) One thing to do is make a table. Assume 1,000 students for simplicity. By looking at the table, we can answer any question. i.e. probability a randomly chosen student is female given they major in math? Go down the Female column to the Math row and go across. We get 120/300=2/5=.60 Probability a student is male and majors in math: 180/1000=(.60)(.30)=.18 |
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