document.write( "Question 1134103: The workers in a VS shop need to attend a competency course and pass three tests. The probability of passing the first test is 0.8 and if a worker passes a test, the probability that the worker will pass the subsequent test is 0.7. Instead, if the worker fails, the probability that the worker will fail the subsequent test is 0.8. Find the probability that a worker will pass the first and the third test? Find the probability that a worker will pass at least two tests?Find the conditional probability that a worker will pass the first and the third test, given that a worker will pass at least two tests? Find the probability that a worker will fail all tests or pass all tests? \n" ); document.write( "

Algebra.Com's Answer #751405 by Shin123(626) $\"\"$ $\"About$

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There is a 0.8 chance of passing the first test.\r
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Case 1: Test 2 is failed.

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\n" ); document.write( "\n" ); document.write( "If Test 2 is failed, there is a (1-0.8)=0.2 chance of success. \r
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Case 2: Test 2 is passed.

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\n" ); document.write( "\n" ); document.write( "If Test 2 is passed, there is a 0.7 chance of success. So there is a (0.8*0.2)+(0.8*0.7)=0.72 chance of passing the first and third test. There is a 0.8*0.7*0.7=0.392 chance of passing all 3 tests. There is a (1-0.8)*0.8*0.8=0.128 chance of failing all 3 tests. Figure out the rest yourself. Bonus: click this surprise link. \n" ); document.write( "

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