I just did the math too.
Here's what I found when comparing probabilities:
Flying (Commercial Airlines): The risk of death is approximately 0.000009% per trip (1 in 11 million flights, based on global aviation data).
Cars: The risk of death is approximately 0.0001% to 0.001% per trip (1 in 100,000 to 1 in 1 million trips, depending on trip length and conditions, derived from U.S. crash data and average trip assumptions).
The conclusion therefore is that planes are still a lot safer even on a "per trip" basis.