document.write( "Question 1095645: A multiple choice quiz has 5 questions. Each question has 4 choices. What is the probability of randomly guessing on all questions and getting them all correct? \n" ); document.write( "

Algebra.Com's Answer #710139 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A multiple choice quiz has 5 questions. Each question has 4 choices.
\n" ); document.write( "What is the probability of randomly guessing on all questions and getting them all correct?
\n" ); document.write( "~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Actually, this condition is incomplete, since it doesn't say how many of each of 4 choices are correct.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "       In principle, it may happen that all of them are incorrect.
\n" ); document.write( "       Or, let say, 3 of them are correct.
\n" ); document.write( "       Or even all 4 are correct.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I perfectly understand what the author was going to say in the condition (but failed to say). The correct formulation is THIS:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    A multiple choice quiz has 5 questions. Each question has 4 choices, of which only one is correct.\r\n" );
document.write( "\r\n" );
document.write( "    What is the probability of randomly guessing on all questions and getting them all correct?\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then the answer is $\"1%2F4%5E5\"$ .\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );