1. Check the owner's manual: This is the most reliable source. The manual will specifically state the type of transmission (e.g., 3-speed automatic, 4-speed automatic) and therefore the number of speeds.
2. Look at the gear selector: The gear selector on the center console will usually show the available gears (P, R, N, D, etc.). While this doesn't directly tell you *how many* gears are *inside* the transmission, a 4-speed automatic will usually have more positions on the selector than a 3-speed automatic. However, this isn't definitive.
3. Check the VIN: You can use the VIN to look up the vehicle's specifications online through various vehicle history websites (like Edmunds, Kelley Blue Book, etc.) or a parts website (like AutoZone or Advance Auto Parts). These sites will usually list the transmission type.
A 2002 Dodge Caravan Sport with a 3.3L engine *most likely* had a 3-speed automatic transmission, but it's crucial to confirm using one of the methods above for certainty.