[pdurrant]

Originally Posted by glowhappy

Spoiler:

1. just pick up coins at random and turn it over so that the opposite side is faced up.
Since you have 21 chances its more likely that of the remaining 80 coins, you will have more of the Queen's Heads side up because if you pick up a Coat side, you'd have flipped it and ensured you have a Head side. If you pick up a Head coin, then you've lessen the Goaler's Head coin count.

2. using the method above, the ratio of Head to Coat coins will stay relatively the same b/c flipping the coin will result in it being either one or the other. Since there were more Coat coins to begin with, roughly 80 percent, then your chances of choosing a Coat coin and flipping it into a head coin 8 of 10. Ensuring that you will indeed have more Head coins.

I think so do I die?

You certainly have the right strategy. You haven't analysed the outcome sufficiently yet though. You've answered Q1 but not Q2.