Probability of landing a 6 in an unfair Dice.

Question

A standard dice has the numbers 1 to 6, each appearing with a probability of (1/6).
If the dice is modified so the number 6 appears half the frequency of the other numbers, what is the new probability of rolling a 6 ?

Answer 1

Assume its x then for 1 2 3 4 and 5 it would be 2x.
So
x + 5*2x = 1

Or

x=1/11