1)You take a test, and 60% pass the first time and 40% fail.
The second time around,80% pass the test and 20% fail.
The third time, 90% pass and 10% fail.
a. What is the probability that you pass on the 2nd time?
b. What is the probability that you pass on the 3rd time?
c. What is the probability you fail?
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Answer / vinod
a.Passing in the 2nd attempt = Fail on first AND Pass in 2nd = 0.4*0.8=0.32 or 8/25.
b.Passing in the 3rd attempt = Fail 1st AND Fail 2nd AND pass 3rd = 0.4*0.2*0.9 = 0.072 = 9/125
c.Failing after 3 attempts = Fail 1st AND Fail 2nd AND Fail 3rd = 0.4*0.2*0.1 = 0.008 = 1/125
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