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5% Chance, My Keister!

8 replies [Last post]
Sat, 07/12/2014 - 08:55
Kyborg-Kiske's picture
Kyborg-Kiske

I've opened like, 6-7 Slime Prize Boxes and I've gotten three Crushers.

Does the distribution ratio really matter?

Sat, 07/12/2014 - 09:37
#1
Fangel's picture
Fangel
Meanwhile...

I'm over here and 3/5 of my boxes were military node guards.

The random number generator is a finicky little bugger.

Sat, 07/12/2014 - 10:03
#2
Bopp's picture
Bopp
probability

If the chance of getting a Crusher is really 5%, then the chance of not getting a Crusher is 95%. I assume that the trials are independent. Then the probability of getting exactly three Crushers from six Prize Boxes is

0.05 * 0.05 * 0.5 * 0.95 * 0.95 * 0.95 = 0.000107172,

or about 1 in 10,000. This unusual outcome seems to be evidence that the chance is not really 5%.

On the other hand, we would never have heard from you if you'd had a more common outcome. I mean, for every weird case such as yours, there may be thousands of completely common cases that aren't being reported because they're boring. Given enough people trying these chances, somebody is bound to have a weird outcome. You may simply be that person. So in the end I am not convinced that the stated chances are wrong.

Sat, 07/12/2014 - 10:23
#3
Fehzor's picture
Fehzor

@Bopp

Shouldn't the probability be (6 choose 3)(.05^3)((1-.05)^3) cuz order wouldn't matter?

(6 choose 3)(.05^3)(.95^3) = 20 * 0.000125 * 0.857375 = 0.0021434375

Which is still unlikely, but as you said-- the OP is specifically looking for this to occur, and would likely have been just as surprised to find even more than 3 crushers, 3 shields, or even some other unlikely mixture of low pecentage chances..

Sat, 07/12/2014 - 10:33
#4
Krakob's picture
Krakob

I've opened zero boxes and I've gotten nothing. Four times in a row.
Four times.

Crazy, right

Sat, 07/12/2014 - 11:39
#5
Bopp's picture
Bopp
Fehzor

Fehzor, you are right about the 6-choose-3 factor. Thanks.

Sat, 07/12/2014 - 18:08
#6
Fehzor's picture
Fehzor

BEST DAY OF LIFE

Sun, 07/13/2014 - 03:38
#7
Paintool's picture
Paintool
Spiral Knights in a Nutshell

>>Bopp: I could not have summed up the game and it's countless statistically unfair promos in a better way.
"there may be thousands of completely common cases that aren't being reported because they're boring."

Sun, 07/13/2014 - 03:58
#8
Zaffy-Laffy's picture
Zaffy-Laffy

Don't worry, I do worse than 90% chance, my keister!

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