document.write( "Question 1141847: You roll two fair dice. Find the probability that the first die is a 4 given that the minimum of the two numbers is a 2.\r
\n" ); document.write( "\n" ); document.write( "I have tried 1/5 \n" ); document.write( "

Algebra.Com's Answer #762480 by ikleyn(52909) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The total space of events consists of 6*6 = 36 elements, each with the probability of  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Of these 36 events, the sub-space of elements having the minimum of two numbers as 2 is THIS set\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (2,2), (2,3), (2,4), (2,5), (2,6), (3,2) (4,2), (5,2) and (6,2),\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "consisting of 9 elements.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Of these 9 elements, only one element (4,2) satisfies given condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the conditional probability under the question is  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the answer to the problem's question.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

\n" );