The probability of success in one role is
But we have three chances which make it
I answered like the meaning of the question is at lists one.
it is true that the probability of success is 1/6. However in 3 rolls you have the following possible outcomes
success or no success. for each one you have again success or no success and so on. so there are many paths so here are the outcomes
now the ones that have at one success are as follows
so that would be
Another approach is to recognize this as a binomial distribution which has the functional form
In the general case, you always need to consider that there are multiple paths you should take into consideration when dealing with probability.