Say i'm playing a game that has two outcomes: win or lose.
Every round I calculate the win percentage by dividing the the number of wins by the total number of rounds played.
1/1 ＝ 100% | 1/2 ＝ 50% | 39/100 ＝ 39% | 152/400 ＝ 38%
Let's say my latest "score" is this last ration: 145/400 ＝ 38%,
and i would like to calculate how many games I need to win consecutively in order to reach a certain percentage, say 40%?
I tried to work it out myself but I'm just not getting to any solution. I'm not sure if there's a formula or whether it is something very trivial and i'm simply not seeing it.
Is there a formula or a method to calculate it?
I'd appreciate any insight. Thanks
Best Answer
@Eli A
I think what you want is something like this:
Supposing you had 151 wins out of 400 rounds and would like to get to 40% wins by winning several games consecutively.
Let x be the number of wins needed,
$\frac{151+x}{400+x}=\frac{2}{5}$
solving gives x = 15, so you need 15 consecutive wins.
To check
151 + 15 = 166
400 + 15 = 415
166 / 415 = .4 or 40% win rate.