A football team played 60 matches out of which 30% were won by them. If they start winning all the next matches after how many matches will the average winning rate be 50% ?

One Answer on this Question

1. Matches played: 60.
   Matches won: 30% of 60 => (60*(30/100)) = 18 matches.
   Iterative approach:
   On adding 1 to matches played and matches won, on every iteration until the win percentage gets to 50. So
   19 / 61 = 0.3114754098360656
   20 / 62 = 0.3225806451612903
   21 / 63 = 0.3333333333333333
   22 / 64 = 0.34375
   …
   …
   …
   …
   Similarly,
   41 / 83 = 0.4939759036144578
   42 / 84 = 0.5

   So, after 60th match 24 more matches has to be played and won to get 50% average winning rate.

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