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Math Help - Rounding up or down averages?

  1. #1
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    Rounding up or down averages?

    Hi. I am currently stuck with the aforementioned question. I'm playing a video game where characters gain levels.

    Let's assume a character has 10 hitpoints, and it has a 80% chance to grow in each level. We can therefore assume that the averages are:

    Level 1: 10 HP
    Level 2: 10.8 HP
    Level 3: 11.6 HP
    Level 4: 12.4 HP
    Level 5: 13.2 HP

    Let's take Level 3 as an example. Since the HP is 11.6, I would usually round it up, but this is a game in which there are no decimals. There's 10 hitpoints and there's an 80% chance for it to go up to 11, and 12, and 13, and so on.

    If I take 11.6, would it be smarter to assume that the said character would have 12 HP at level 3? I assumed that they would still have 11 because there are no decimals in the game. Should I always round down or should I round up when it's 11.5 and above?
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  2. #2
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    e^(i*pi)'s Avatar
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    Re: Rounding up or down averages?

    I would say that's a fair assumption but remember that these are independent events so if a character was unlucky going from Level 1 to level 2 then their HP would be lower
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