It's a great variant for teaching about probability, because switching is the right answer, even if you don't then get the prize. Sometimes you switch, but cho

It's a great variant for teaching about probability, because switching is the right answer, even if you don't then get the prize. Sometimes you switch, but choose the wrong one of the two. So for bonus points, what values of 10, 2 and 6 make this a 50-50 proposition? More particularly, what does the relationship between 10, 2 and 6 have to become?