You roll a fair 666-sided die. What is \text{P(roll an even number})P(roll an even number)start text, P, left parenthesis, r, o, l, l, space, a, n, space, e, v, e, n, space, n, u, m, b, e, r, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.