document.write( "Question 1162122: In a lottery game, a player picks six numbers from 1 to 53. If 5 of the 6 numbers matches those drawn, the player wins $1000. What is the probability of winning this prize? \n" ); document.write( "
Algebra.Com's Answer #785848 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The player can pick all 6 winning numbers in 6C6 = 1 way\r\n" ); document.write( "The player can pick 5 winning numbers and 1 non-winning number in (6C5)∙(47C1) = 282 ways.\r\n" ); document.write( "\r\n" ); document.write( "So there are 1+282=283 ways the player could win.\r\n" ); document.write( "\r\n" ); document.write( "There are 53C6 = 22957480 ways the player could pick 6 numbers.\r\n" ); document.write( "\r\n" ); document.write( "Probability of winning = 283 ways out of 22957480 or 283/22957480 or about\r\n" ); document.write( "\r\n" ); document.write( "0.000012327136950571229943356152330308030323885722649001545...\r\n" ); document.write( "\r\n" ); document.write( "1.2327×10-5, which is about 1 chance in 81122.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |