You have a reasonable chance of getting a 50/50 guess correct 3 times in a row, given unlimited attempts.
I think it is better to get this element of risk out of the way at the beginning, and then you can proceed to claim a guaranteed prize. In order to have enough funds for a losing run to end on £1, you will need to guess the first 3 questions correctly and get your entire pot through to round 4. This game does not let you split pounds between outcomes, meaning I had to start from the minimum £1 prize and work backwards to figure out the minimum required bets. Having explored this game a bit to understand the rules, I came up with a strategy to get to the end with at least a £1 prize. Update: This strategy has been amended to reflect the new £5000 prize played through 15 rounds.