Edit: Diversification works with investment when the average return is positive.<p>These games are negative sum for most players as the house takes part of the pool. For simplicity, let&#x27;s say it&#x27;s a 50:50 coin, but you win 1.99 of your stake.  With one bet the house takes some of your winnings, but your odds don&#x27;t change.  With 2 bets, if you win both you win, if you lose both you lose, but if you win one (1.99) and lose one (0) you still lose (1.99 + 0) &#x2F; 2 &lt; 1.<p>Sure, your odds of losing &#x27;big&#x27; went from 50% to 25%, but your odds of winning big went from 50% to 25% and your odds of losing slightly are now 50%. Same thing applies if it&#x27;s a 10% chance to win 9.99x your state, with 10 bets and 1 when you still lose.  However, your odds of a 9.99x win are much smaller. (1 in 10,000,000,000 vs. 1:10)<p>Granted, if your vastly better than other players you can get a small advantage.  But, that&#x27;s not going to be very significant over a small number of games.