document.write( "Question 1147719: There is a game where the numbers 1 through 10 are put in hat and one number is picked. It costs $5 to play. If you pick a two then you win $15. If you pick an odd number then you win $7. You decide to play the game once. What are your expected winnings? \n" ); document.write( "
Algebra.Com's Answer #769073 by ikleyn(52832)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Expected winning is  -5 + \"15%2F10\" + \"7%2A%285%2F10%29\" = -5 + 1.5 + 7*0.5 = 0.00 dollars.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In this solution,  \"1%2F10\"  is the probability to pick up a two.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"5%2F10\" is the probability to pick up an odd number.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "-5 is the cost to play.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This solution and this answer assumes that the experiment  (the game)  is repeating many times.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Otherwise,  the notion  \"Math expectation\"  is not applicable.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );