The probability that a $1 ticket DOES NOT win in the State Lottery is $\frac{5613020}{5613021}$. The probabilty $p$ that $n$ independently sold tickets are ALL losers and the jackpot rolls over is given by

$p = (\frac{5613020}{5613021})^n$.

As $n$ increases, is $p$ increasing or decreasing? In other words, as the number of tickets sold increases, is the probability of a rollover increasing or decreasing?

For what number of tickets sold is the probability of a rollover greater than 55%?
Fewer than tickets must be sold.