What is the probability that all four 1 seeded teams make it to the Final Four?

It happened for the first time in 2008. To calculate the probability you'd need to know the probability of each number 1 seed winning each game, and that changes every year (and can't really be measured).

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What are the odds of all four number one seeds making the Final Four?  What is the probability that all 4 1 ranked teams make it to the Final Four?