Hm, I don’t have a caluclator, but if my stochastic skills don’t fail me, that is not correct. My probability to score hits in the shore bombardment round was 1.6% for no hits and 11.5% for 1 hit. That means 86.9% 2+ hits. And even if I have only one hit and you have one hit (as it happened), it is 2 Inf 1 Tank vs 3 Inf, which usually is also more likely to either mutual annihilation or a win for me, and not you surviving with 2 units:
Even in round 2, I had a 65.3% chance to score 1+ hits (your chance to get 2+ hits was 25.9%). Thus, even if the odds were slightly on your side, the by far most likely outcome was for each of us to have exactly one hit (48.6% for me and 44.4% for you, the remaining outcomes sharing the rest of the probabilities).
If that happens, it is 1 Inf, 1 Tank vs 2 Inf, and then the odds are slightly on my side: 0/1/2 is 41,67%/50%/8,3% for me vs 44,4%/44.4%/11.1% for you.
Instead, I had no hit, The probability of this result, if I take your 1 hit in round 1 as a given, was 4,78% (my only consolation being that I did not hit the jackpot of scoring no hits at all in two rounds, which was at 0,55%). So yes, I took a chance of about 5% in an important battle when I didn’t needed to. Apparently that was silly.