Speaking statistically, the chance of rolling a 1 is 1 in 6 regardless, however the chance of rolling two 1's in a row is 1 in 6 x 1 in 6 = 1 in 36.I fully explore my planets anyway though, usually once I've built up everything else. I don't know the exact mechanics, but it seems just as likely to find something on the second try as on the first.
True but what he said is false, he (Quinburger) said that if you find something on a planet, you have a lower chance to find something else on your second try ...
The only reason you should not explore a second time, is that it is more expensive, so you could explore another planet for cheaper ... Although if you did explore all your planets, you could go for this second try ...