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Probate is normally required if there is over £5,000 sitting in any Bank account, so this may not be a problem.
However, in order fo ryou to sell your Father's house, the Buyers Solicitor and the Land Registry will require to see the Probate. Indeed, as you and your Wife are Executors, and hence be selling the Property, you will need to obtain Probate before Contracts are exchanged.
I hope this helps and answers your question.