document.write( "Question 934882: The odds against students X solving a statistics problem are 8:6 and odds in favor of a student U solving the problem are 14:16.what is the chance that the problem will be solved if they both try independently of each other and what is the probability that neither solves the problem? \n" ); document.write( "
Algebra.Com's Answer #567932 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The odds against students X solving a statistics problem are 8:6 \n" ); document.write( "P(X solves) = 6/14 = 3/7 \n" ); document.write( "P(X fails to solve) = 8/14 = 4/7 \n" ); document.write( "------------------------------------------ \n" ); document.write( " and odds in favor of a student U solving the problem are 14:16 \n" ); document.write( "P(U solves) = 14/30 = 7/15 \n" ); document.write( "P(U fails to solve) = 16/30 = 8/15 \n" ); document.write( "------------------------------------------------- \n" ); document.write( ".what is the chance that the problem will be solved if they both try independently of each other \n" ); document.write( "Ans; P(solve) = 1 - P(both fail) = 1 - (4/7)(8/15) = 1-(32/105) = 73/105 \n" ); document.write( "------------------------------ \n" ); document.write( " and what is the probability that neither solves the problem? \n" ); document.write( "Ans: P(both fail) = (4/7)(8/15) = 32/105 \n" ); document.write( "------------------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |