A majority of Britons think Theresa May's Brexit plan would be good for the UK but just one in five believes the European Union will agree to the deal she wants, a new poll suggests.

The YouGov survey carried out after the Prime Minister's major speech on Tuesday revealed that 55% of British people think the deal she is seeking will be good for the country, compared with 19% who feel it will be bad.

But just 20% believe EU leaders will agree to the 12 objectives she set out, while 56% think they will not.

Read more: Britain 'open for business', Theresa May tells World Economic Forum

The figures underline the task facing Mrs May once she triggers Article 50 of the EU treaties to begin the two-year negotiation, which she has promised to do by April.

And it comes amid warnings from senior EU figures that the UK will not be able to "cherry-pick" and keep the benefits of being in the union while ditching aspects it does not like.

However, the poll shows that more Britons have confidence in Mrs May to negotiate the sort of deal she described, by 47% to 38%.

And 62% think the agreement will respect the result of the June 23 referendum.

They also backed the PM's insistence that she will walk away from negotiations if the EU attempts to punish Britain for leaving, with 48% agreeing that "no deal is better than a bad deal" compared with 17% who would rather have a bad deal.

Read more: Britain 'open for business', Theresa May tells World Economic Forum

A majority (55%) said Mrs May should be prepared to walk away.

The most divisive issues in the premier's strategy were related to the UK's future trading relationship with EU.

A majority of people supported her plan to leave the single market (57%) and customs union (56%) and negotiate new arrangements in an effort to ensure Britain is not "half in, half out" of the EU.

But while a vast majority of Leave voters approved of both, Remain voters were opposed to leaving the single market and split on the customs union.

Read more: Britain 'open for business', Theresa May tells World Economic Forum

Most of her other negotiating priorities proved uncontroversial, with immigration control, an open border with Ireland, guaranteeing the rights of EU nationals in the UK in return for similar guarantees for expats, and continuing to collaborate on security matters receiving more than 70% support.