1. Luckily I managed to pick up a cancellation and came right through.
    幸亏我弄到了一张退票, 才得以顺利度过难关。

2. Luckily, I passed the exam.
    很幸运, 我通过考试了.

3. Luckily her disease was discovered in an early phase.
    幸运的是, 她的病在早期就被发现了。

4. Luckily I mentioned this to an embassy official first.
    幸好我事先向一位大使馆官员提起了这件事。