Salt Lake City or Big Sky Better First Week April?

I am heading out to the Rockies March 30-April 6 for spring skiing, and wonder whether I am more likely to find the best snow conditions in the Salt Lake City area or up in Big Sky (Montana) or Jackson Hole region?
I know that this can be a crapshoot---but if any of you have experience in these resort areas this late in the ski season, I would appreciate your input. I am going with my 8-year old daughter ski fanatic, so I will be sticking to groomed runs this trip.

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