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  • 10-01-2017
  • Mathematics
Answered

assume that 70% of teenagers who go to take the written drivers license test have studied for the test. Of those who study for the test 95% pass; of the those who do not study for the test, 60% pass. what is the probability that a teenager who passes the written drivers license test did not study for the test?

Verified Answer :

wizard123
wizard123 wizard123
  • 10-01-2017

\(P = \frac{P(pass AND not study)}{P(pass AND study) + P(pass AND not study)}
\\ \\
P = \frac{(.6)(.3)}{(.95)(.7) + (.6)(.3)} \\ \\
P = 0.213\)

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