In a particular class (in another department) the statistics of scores on two midterms and one final revealed the following facts: a) The probability to pass the final is 1/2 b) The probability to pass the final – given that both midterms were passed– is 3/4/. c)  The probability to pass the final – given that at least one of the midterms was flunked– is 1/4. . d) Passing the first and second midterm are independent events with equal probability. Based on the above information, compute the probability of passing the first midterm.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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10) In a particular class (in another department) the statistics of scores on two midterms and one final revealed the following facts:

a) The probability to pass the final is 1/2

b) The probability to pass the final – given that both midterms were passed– is 3/4/.

c)  The probability to pass the final – given that at least one of the midterms was flunked– is 1/4.
.
d) Passing the first and second midterm are independent events with equal probability.

Based on the above information, compute the probability of passing the first midterm.

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