<PRE><B>Question 101958</B>
Of 200 students who took Mr Johns Algebra class, 160 passed the mid-term exam and 140 passed the the final exam. 124 students passed both exams. Let A represent the students who passed the mid-term, and B represent those who passed the final. There were no other graded requirements. Use probability notation to describe and solve the following.
a. What is the probability that a student chosen at random passed the mid-term?
I have 1/200 or should it be 160/200?
P(passed mid-term)=160/200
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b. What is the probability a student chosen at random passed the final? Again I have 1/200 or should it be 160/200
c.What is the probability a student chosen at random passed both exams?
I have once again 1/200 or should it be 124/200?
P(passed final) = 140/200
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d. What is the probability of receiving a passing grade in Mr Johns Algebra class IF a student can pass JUST ONE test and STILL PASS the class?
P(passed the course) = P(passed midterm) + P(passed final)-P(passed both)
160/200 + 140/200- 124/200 = 176/200
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Cheers,
Stan H.
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