document.write( "Question 1137667: a multiple choice test consists of 10 questions, each with four answer choices. what is the probability that a person who randomly guesses gets the first two questions correct
\n" ); document.write( "p=1\4=0.25
\n" ); document.write( "q=3\4=75
\n" ); document.write( "p=10cr(1\4)(10-8)x(3\4)
\n" ); document.write( "10c2x(0.25)4x(0.75)x2
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #755557 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I just answered this question yesterday under this link\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1137670.html\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1137670.html\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I copy this my answer here again\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    The probability to guess correctly the answer to the first question is  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The probability to guess correctly the answer to the second question is  , again.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    These events are independent,  so the probability to guess the answers correctly to the first AND the second questions is   = .\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The \"solution\" written in your post is INCORRECT.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For your better understanding, if even the total number of questions in such multiple choice test is 100 (instead of 10),
\n" ); document.write( "it will not change the answer to this question.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you want to discuss further my solution with me via this forum, then PLEASE put the ID number
\n" ); document.write( "of the problem (which is 1137667 in this case) into your message.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );