Premium Bonds: What are my chances of winning?

A survey suggests people believe their chances of a Premium Bond win are much greater than the reality. Why is there still so much confusion around the question of whether or not Premium Bonds are a good bet – and how they compare to regular savings accounts.
Paul interviews statistician Professor David Speigelhalter, who has looked in detail at the stats of a Premium Bond win, about the true returns from investing in Premium Bonds and the science behind the odds.