Look at it from the perspective of just percentages.
Say “winning” is having more pizza than anyone else.
If you have a single pizza and cut it into 10 slices, you can be given 7 slices and have 70% of the pizza. You win.
Now if you have 10 pizzas, each cut into 10 pieces, and are given 7% of each pizza, you’ll have less than one slice of each pizza. The total of all those smaller slices compared to the rest of the pizza you don’t get is a small share compared to the last example of a single pizza. There’s a much higher probability you don’t win.
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