First off apologies for what is most likely a really dumb question but I've been studying probability lately and this problem is driving me mad... so if one was to flip a fair coin for all eternity would every possible sequence of heads and tails eventually come up? (I am concluding yes to this first question but maybe this is where I'm making a mistake)... now here's my problem if the first question is true then would it not be the case that somewhere within the eternal sequence of coin flips there would be a sequence with an infinite amount of heads up and and infinite amount of tails up sequence which obviously doesn't make any sense... Please help me understand where I'm failing miserably here... Cheers