How do you find expected value of a 1-1 game, given the probability chance?

Question

If all bets are 1-1 and everything is equal, how would i find the expected value?

Answer 1

If you mean to ask what the expected number of wins of a player over n # of games. We can treat the situation like it is a binomial. The mean or expectation of a binomial distribution = n * p where n is # of trials and p is the probability of success.

Therefore the expected number of wins for a player would be the number of games played multiplied by the chance of r winning. For example, if you have say a .7 chance of winning and you play 10 games, your expected value of wins would be .7 times 10 = 7. So you'd "expect" to win around 7 out of ten games.