User:Guy Bukzi Montag/sandbox

Nothing to see here. It's only my playground for future articles or blog posts.

Everything on this page is a draft and will be deleted when the final post is published.

If you do see something here, it's probably a blog post in the making. Feel free to comment, corrections are welcome!

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Code clipboard[]

//--------------------
// Attempts to get a CSS variable into page code
// Sanitizer doesn't allow simple
// <span style="color:var(--test)">Example text</span>
 
$("div").click(function() {
    var color = $(this).css("background-color");
    $( "#result" ).html("That div is <span style='color:" +
    color + ";'>" + color + "</span>.");
});
 
$(".testclass").css("color", returnVar("--test"));
 
$(function() {
    $("#bingo").html("The value of --test is: "
    + returnVar("--test") + ".");
});
 
function returnVar(varName) {
    return window.getComputedStyle(document.documentElement).getPropertyValue(varName);
    // jQuery doesn't work:
    // return $(":root").css("--test") + " (jQuery)";
}

Drop Rates Explained: 5th Anniversary (V)

This is part V of a series on the maths behind drop rates.

Part I: Practical questions
Part II: Extracting probabilities
Part III: More than one box
Part IV: Box inside a box
Part V: One last question
Part VI: All formulas in a nutshell (tba)
Part VII: The Asphalt 8 Box Calculator (tba)

This part continues the explanations of part IV

Bla.

If you have questions or find mistakes: Feel free to comment!

Formula collection[]

Here are all the formulas from the previous parts in a nutshell.

Probability of a random item in a box with guaranteed items
(Part II, Boxes with guaranteed items):

P(D) = \frac{\operatorname{E}[D]}{1 - \operatorname{E}[G]}

\operatorname{E}[D]

: expected value of the desired random item

D

(percentage in the

box info)

\operatorname{E}[G]

: expected value of all guaranteed items

G

(sum of all guaranteed percentages in the

box info)

P(D)

: probability of

D

Number of possibilities (permutations) when buying boxes with random items
(Part III, Permutation):

(d+1)^n

n

: number of boxes

d

: number of random items of a kind granted per box

Number of combinations of a random item in a set of boxes
(Part III, Combination):

\binom{n}{k}

n

: number of boxes

k

: number of items in the combination

Number of possible combinations of a minimum number of a desired item from several boxes
(Part III, Combination):

\sum_{k = d}^n \binom{n}{k}

d

: number of desired items

n

: number of boxes

Probability of one combination in a set of boxes
(Part III, Probability):

(P(D))^d \cdot (1 - P(D))^{n-d}

P(D)

: probability of getting the desired item

D

d

: number of desired items

n

: number of boxes

Probability of getting a minimum number of a desired item from several boxes
(Part III, Probability):

\sum_{k = d}^n (P(D))^k \cdot (1 - P(D))^{n-k} \cdot \binom{n}{k}

P(D)

: probability of getting the desired item

D

d

: number of desired items

n

: number of boxes

Conclusions[]

Statistical test[]

Did the calculations withstand the real numbers of items found in opened boxes?

Further questions[]

Everyday example Binary numbers are just permutations of 0 and 1.

User:Guy Bukzi Montag/sandbox

Contents

Code clipboard[]

Formula collection[]

Conclusions[]

Statistical test[]

Further questions[]

The Asphalt 8 Box Calculator[]

Appendix[]

References[]