I am perplexed by an exercise problem I came across yesterday:
In a sequence of consecutive throws of a die, find the probability that six will show before a one or a two.
I am quite confused about this problem.I think A(if I denote the event in the problem as A) is sorta kinda complex, by which I mean, for example, it's probable that both 612 and 12612 are in A.I don't know how to solve this. My question is:if I change the problem into “the first emerging 6 is before the first emerging 1 or 2”, what is the answer?And if I consider the more complex problem I mentioned above,how should I fix it? Thanks a lot!