Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. Assuming that a head is six times as likely to occur, find the probability distribution of the random variable W.
I understand how to do the problem. I just don't get how to distribute the probability of heads is 6 times as likely. If it was 2 times it would be H= 2/3 T=1/3. Then for 3 heads it would be (2/3)^3, for HHT it would be (2/3)^2 * (1/3) etc, however the 6 times as likely is messing me up.