document.write( "Question 1172413: A study of two doctors finds that the probability of one doctor correctly diagnosing a medical condition is 93/1000 and the probability the second doctor will correctly diagnose a medical condition is 97/100. What is the probability that at least one of the doctors will make a correct diagnosis? \"9979/10,000\" why is the answer. \n" ); document.write( "

Algebra.Com's Answer #797429 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "This problem is easier to solve if you take the inverse:
\n" ); document.write( "P(at least one makes a correct diagnosis) = 1 - P(neither makes a correct diagnosis).
\r
\n" ); document.write( "\n" ); document.write( "P(both doctors make incorrect diagnosis) = (7/100)*(3/100) = 21/10000
\n" ); document.write( "

\r\n" );
document.write( "1 - 21/10000 =  (10000 - 21) / 10000  =  9979/10000\r\n" );
document.write( "

\n" ); document.write( "

\n" );