SOLUTION: In a certain class, 40% of students are seniors, 35% of the students are failing, and 25% are seniors who are failing. What is the conditional probability that a student is failing

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Question 404726: In a certain class, 40% of students are seniors, 35% of the students are failing, and 25% are seniors who are failing. What is the conditional probability that a student is failing given that he/she is a senior? Write your answer as a decimal correct to two decimal places. For example, if your answer is 75%, write your answer as 0.75.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a certain class,
40% of students are seniors,
35% of the students are failing,
25% are seniors who are failing.
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What is the conditional probability that a student is failing given that he/she is a senior?
P(fail | senior) = P(fail and senior)/P(senior) = 0.25/0.40 = 0.625
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Cheers,
Stan H.
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