This will be a big week for both of the leaders. For Donald Trump, who was inaugurated as the 45th President of the United States last Friday, this will be his first week in office, and the beginning of the first 100 days window that media commentators like to use to compare the performance of the current president with those who have gone before. Trump is not the most popular president by any means, but he did win last year's election and he is unlikely to stand down voluntarily just because some people don’t like him. Of course, there are talks of possible impeachment proceedings being brought against Trump, so an involuntary stepping down is an unlikely possibility.
For Theresa May, the Supreme Court will announce on Tuesday whether or not Parliament must be given a say on Article 50, triggering the UK's exit negotiations from the EU, and newspapers report that the government has already prepared several versions of a law to present to Parliament, with the version to be used dependent on the Supreme Court ruling. Theresa May is in a different position to Trump, because she seems to be as unpopular with her own party as she is with members of the opposition.
Given that Donald Trump was voted into his position as President of the USA by the general public, and Theresa May became Prime Minister largely thanks to David Cameron’s resignation leaving a vacuum behind him, William Hill will feel justified in making May the favourite in this particular betting market. Quite how soon there will be a new Prime Minister, only time will tell, but William Hill have Boris Johnson installed as the 5/1 favourite to replace Theresa May when she vacates the role, so it is worth watching with interest.