document.write( "Question 1207704: Alex chooses a number at random from the set $\{1, 2, 3, \dots, 5\}.$ Winnie also chooses a number at random from the same set. (They can choose the same number.) What is the probability that the product of their numbers is at least 3? \n" ); document.write( "
Algebra.Com's Answer #845723 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "There are 5x5=25 ways they can choose a number.\r\n" );
document.write( "The only way they can fail to have a product of at least 3 is for: \r\n" );
document.write( "\r\n" );
document.write( "1. both to choose a 1\r\n" );
document.write( "2. Alex to choose a 1 and Winnie to choose a 2.\r\n" );
document.write( "3. Alex to choose a 2 and Winnie to choose a 1.\r\n" );
document.write( "\r\n" );
document.write( "Any other choices will be successful.\r\n" );
document.write( "\r\n" );
document.write( "The probability of a failure is 3/25. Therefore,\r\n" );
document.write( "\r\n" );
document.write( "the probability of a success is 22/25 = 88%\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );