Disclaimer: unless I'm remembering wrong, you need Avalanche training to ski Tuckerman Ravine. One of the few places in the Northeast where that's necessary!
You don't need it. No one is checking. In the spring, it's pretty safe. Definitely want avalanche gear and training if you go in the middle of winter though.
Amanoosuc ravine on the other side of My Washington is another place you face avalanches. An experienced Backcountry skier died there a few years ago after being buried under 13 feet of snow during an avalanche.
Kings ravine on Adams and a few other places in the White Mountains are also known for high risk avalanches.
