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Help with a multiple simultaneous probability problem. in c/askmath@lemmings.world
[–] [S] 2 points 1 year ago* (last edited 1 year ago) (1 child)

This makes sense. And I can see how to apply when you add more dice with different probability.

... however, when I did that math, I ended up with 87.04%

1-((1-.64) x (1-.4) x (1-.4)) = x

1-(.36 x .6 x .6) = x

1-.1296 = .8704

87.04% chance to get 2 winning dice

Hold up. Something seems off with this.

I tried calculating the probability of landing 2 losing side by using the same method and it doesn't add up

.2 x .2 = .04

.2 x .5 = .1

.2 x .5 = .1

1-((1-.04) x (1-.1) x (1-.1) = x

1-(.96 x .9 x .9) = x

1-.7776 = .2224

22.24% chance to have 2 losing dice.

But 87.04+22.24 = 109.28%

You would think that adding the winning combinations to the losing combinations would be 100%

What am I missing

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    Help with a multiple simultaneous probability problem. (lemm.ee)
     

    I can't seem to wrap my head around how to calculate this, nor the reasoning behind it.

    Say you have 3 10-sided dice. 2 dice have 8 "winning" faces and 2 "losing" faces. So an 80% chance of winning. The third dice has 5 "winning" and 5 "losing" sides, so a 50% chance of winning.

    If you roll all three of these dice at the same time:

    -What is the probability of at least 1 dice winning.

    -What is the probability of at least 2 dice winning.

    -What is the probability of all 3 winning.

    From what I've seen I can calculate the probability of all 3 winning by doing:

    0.8 x 0.8 x 0.5=0.32

    A 32% chance of all 3 winning at the same time.

    But what about the others, I can't seem to figure it out.

    Vitruvian Badger in c/antiquememesroadshow@lemmy.world
    Vitruvian Badger in c/antiquememesroadshow@lemmy.world
    [–] 16 points 1 year ago* (2 children)

    This work revolutionized art for generations. It was instrumental in changing the way people imagined badgers, mushrooms, and snakes. Many modern works of art's influence can be traced back to this monumental piece.

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    PLASTICMAXXING in c/science_memes@mander.xyz