Shouldn't you use 0.0001 (The amount won) instead of 0.0002 (the amount won+bet amount) in your calculation?
Yes you absolutely right. I thought that the amount won will be the total amount including bet. Seems like I was mistaken at some point and I have corrected the above post.
So, the example you made for positive expected value case is no longer valid.
The expected value is always negative in dice game. In dice game the expected value can be positive only if the house edge is negative which is impossible. In sports betting the expected value can be positive.
Assume that there is a game between teams "A" and "B". Team "A" has 70% chance to win the game and team "B" has "30%" chance.
If the house edge is 1%, the odds are
A: 99/70=1.414
B: 99/30=3.3
If we use 70% and 30% in our calculations the expected value is negative.
The expected value is positive only when the gambler analyze the teams and believe that the probabilities that have been used for calculating the odds are wrong.
For example a gambler believe that team "A" has 80% chance and team "B" has 20% chance and bets 0.001 BTC on team "A".
If the gambler wins the bet, he will get 0.001*0.414=0.0001414
So, the expected value is as follows.
EV= [0.000414*0.8]-[0.001*0.2]= 0.000131