Will Jeremy Hunt, Britain's Culture, Media and Sport Secretary, resign from David Cameron's government before the week is out, or indeed before the day is out? Or can he hang in there through the summer, until the end of the London Olympics?
Mr Hunt is deeply embroiled in the controversy over the relationship between Mr Cameron's government and News International. On Thursday he will give evidence to the Leveson Inquiry. His future could depend on his performance there. Conceivably, the prime minister's future could be at risk also.
But in the meantime, Mr Hunt's natural preoccupation with his own survival seems to have left his department effectively leaderless.
Reaching into the vast container of cliches always available for such occasions, civil servants describe it as "gripped by paralysis" and "in a state of suspended animation".
Not a desirable state of affairs on the eve of the Olympics, for which Mr Hunt is said to hold the blueprint.
At the best of times, staging the games is a gigantic task for the host city. Its problems could range from gridlock to water shortages to bankruptcy.
A lost blueprint, metaphorical or otherwise, sounds very bad indeed. But past experience suggests that somehow or other a last-minute magic wand can turn a shambolic building site into a gleaming stadium.