document.write( "Question 1209120: A teacher travels to work by either a bicycle or tricycle. There is probality of 2/7 that he travels by a tricycle on Monday. If he travels by a tricycle on any one day, there's a probability of 2/5 that he will travel by a bicycle the next day.If he by bicycle on every one day ,there is a probability of 5/9 that he will travel by tricycle the next day.Use a tree diagram to find the probability that he travels by a tricycle on Wednesday. \n" ); document.write( "

Algebra.Com's Answer #847701 by ikleyn(52873) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( ".
\n" ); document.write( "A teacher travels to work by either a bicycle or tricycle.
\n" ); document.write( "There is probability of 2/7 that he travels by a tricycle on Monday.
\n" ); document.write( "If he travels by a tricycle on any one day, there is a probability of 2/5 that he will travel by a bicycle the next day.
\n" ); document.write( "If he travels by a bicycle on every one day, there is a probability of 5/9 that he will travel by a tricycle the next day.
\n" ); document.write( "Use a tree diagram to find the probability that he travels by a tricycle on Wednesday.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Among different logical chains, we are interested with the chains that start on Monday\r\n" );
document.write( "and finish by Wednesday/tricycle.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "These chains, with their step-by-step probabilities, according to the problem, are\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Monday/tricycle --> Tuesday/tricycle --> Wednesday/tricycle\r\n" );
document.write( "           2/7                  3/5                    3/5\r\n" );
document.write( "\r\n" );
document.write( "    Monday/tricycle --> Tuesday/bicycle  --> Wednesday/tricycle\r\n" );
document.write( "           2/7                  2/5                    5/9\r\n" );
document.write( "\r\n" );
document.write( "    Monday/bicycle  --> Tuesday/bicycle  --> Wednesday/tricycle\r\n" );
document.write( "           5/7                  4/9                    5/9\r\n" );
document.write( "\r\n" );
document.write( "    Monday/bicycle  --> Tuesday/tricycle --> Wednesday/tricycle\r\n" );
document.write( "           5/7                  5/9                    3/5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we can write for the desired probability\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   P(Wed/tri) = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At this point, the substantive part of the solution ends - the rest is arithmetic.\r\n" );
document.write( "Therefore, I will stop here, will put the formula into my calculator (which is MS Excel)  \r\n" );
document.write( "and give the  ANSWER  in the decimal form  P = 0.5808  (rounded).   \r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Making a tree is an excessive and unnecessary job for me.
\n" ); document.write( "For me, this logical presentation in wording form is PREFERABLE.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );