I’ve been really lucky lately for some reason.
You are so lucky to have such a beautiful wife.
I got an A in Japanese, but I think I was just lucky.
The いい portion means "good." So, when what you carry is good you are lucky. Just think of it in terms of luck being a physical item you carry in your hands. Now imagine yourself carrying it. Now think to yourself "what I'm carrying is good, it's lucky!"
The reading for the kanji in this vocab is the same as the one you learned with the kanji, meaning you should be able to read this.