Answer TRUE or FALSE.

A company wants to use a system where they randomly assign each customer a $9-$digit ID $($so there are $1$ billion possible ID numbers$).$ Of course, there is a chance that two customers will be assigned the same ID$.$ But the company figures that risk is OK if the odds are only one in a million. They expect to assign IDs to $1000$ customers. But the chance of collision is much higher than one in a million.