document.write( "Question 1144397: In a lottery, the probability of the jackpot being won in any draw is 1/60\r
\n" );
document.write( "\n" );
document.write( "How many consecutive draws need to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won? \n" );
document.write( "
Algebra.Com's Answer #765521 by greenestamps(13209) You can put this solution on YOUR website! \n" ); document.write( "The probability that the jackpot is NOT won on each draw is 59/60. \n" ); document.write( "The probability that the jackpot is not won on n consecutive draws is (59/60)^n. \n" ); document.write( "A 98% chance that at least one jackpot prize has been won means there is a 2% chance that none has been won. \n" ); document.write( "So you want to know the smallest integer n for which \n" ); document.write( " \n" ); document.write( "Use logarithms or a graphing calculator.... \n" ); document.write( "(ANSWER: 233) \n" ); document.write( " |