What is the probability of rolling a 4 at least once with 2 dice after 7 tries? Please help, this is confusing

The  probability of rolling a 4 at least once after 7 tries is =  1 - P(no 4's are rolled in 7 tries)

The probabilty of rolling a 4 with two dice = 3/36 = 1/12

So.....the probabilty of not rolling a 4 on one roll = 11/12

And the probability that no 4s are rolled in 7 tries = (11/12)^7 = about 54.3%

So....the probability that at least one four is thrown in 7 tries - 1 - 54%   = about 45.7%