Otherwise, if A is 0, then all depends on whether the second input of the or-gate happens to be 0 or 1. Since B gets inverted before it is fed into this second input of the or-gate you find that Out is 1 if B is 0.
To sum up, the truth table, as I see it, should be
A B Out
0 0 1
0 1 0
1 0 1
1 1 1
So only the first row of your truth table was correct.