At the beginning of 2021 in Germany, approximately 320000 cars with purely electric drive and 280000 plug-in hybrids were registered, thus a total of approximately 600000 cars with electric motors. The share of cars with electric motors in the total stock of all cars registered in Germany was around $1.2 \%$. Determine the number of cars that must be randomly selected from this total stock so that with a probability of more than $97 \%$ at least one car with purely electric drive is among them.
At the beginning of 2021 in Germany, approximately 320000 cars with purely electric drive and 280000 plug-in hybrids were registered, thus a total of approximately 600000 cars with electric motors. The share of cars with electric motors in the total stock of all cars registered in Germany was around $1.2 \%$. Determine the number of cars that must be randomly selected from this total stock so that with a probability of more than $97 \%$ at least one car with purely electric drive is among them.