A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight. Suppose that the percentage of no$-$shows at flight time is $3\%.$ For a particular flight with $247$ seats, a total of $250$ tickets were sold. What is the probability that the airline overbooked this flight?

Click here to view page $1$ of the standard normal distribution table.

Click here to view page $2$ of the standard normal distribution table.

The probability is

$($Round to four decimal places as needed.$)$