There is a 1>302,575,350 probability of winning the Mega Millions lottery jackpot with a single ticket. Assume that you purchase a single ticket in each of the next 5200 different Mega Millions games that are run over the next 50 years (with drawings twice each week). Find the probability of winning the jackpot with at least one of those tickets. Is there a good chance that you would win the jackpot at least once in 50 years? How many years of playing would be required to reach a 10% chance of winning the jackpot at least once?