まず~ない (probably not)

The adverb まず paired with a negative predicate to express strong doubt — 'probably not / almost certainly not / unlikely to / hardly ever.' In this hedging use まず steps away from its 'first of all' temporal sense. Often pairs with negative-requiring adverbs (まずめったに~ない, まずあり得ない) for an 'all things considered, hardly' feel.