Pretty much what I worked out and some others have tried. I will probably go that way when I replace the tyres. What brand and type of tyres did you fit?
The /65 is an indication of the percentage of sidewall height by comparison to the width of the tyre. That means that the sidewall will be 5% of the width, 195mm in this case, higher than a /60 tyre. In other words it should be 9.75mm (or a tad over 3/8") higher than a standard tyre of the same make.
It may not seem like much but given that the older standard for speed humps was 9cm plus a possible 1cm, now reduced to 8cm plus a possible 1cm, it makes the difference between scraping over and not touching.
By the way the minimum ground clearance midway between the front and rear axles for homologation in many countries is 10cm.