Minor correction: in a few billion years our sun will expand into its red giant death phase.
Also: our star can't go nova by our understanding of astrophysics. If it actually can, then we might need to throw out a lot of astrophysics, including predictions on when our star will expand.
Also also: the odds of the dice giving double 6s is MUCH higher than our sun going nova at any point in time even if it could go nova and was overdue.