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coin_flip_sequences.html
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coin_flip_sequences.html
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<!DOCTYPE html>
<html data-require="math graphie">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<script data-main="../local-only/main.js" src="../local-only/require.js"></script>
<title>Coin flip sequences</title>
</head>
<body>
<div class="exercise">
<div class="vars">
<var id="ONE_FLIP">["H", "T"]</var>
<var id="ONE_FLIP_RESULT">_.map(ONE_FLIP, function(result) {
return (SEQUENCE.match(RegExp("(?=" + result + ")", "g")) || []).length
})</var>
<var id="TWO_FLIP">["HH", "HT", "TH", "TT"]</var>
<var id="TWO_FLIP_RESULT">_.map(TWO_FLIP, function(result) {
return (SEQUENCE.match(RegExp("(?=" + result + ")", "g")) || []).length
})</var>
<var id="THREE_FLIP">['HHH','HHT','THH','HTH','THT','HTT','TTH','TTT']</var>
<var id="THREE_FLIP_RESULT">_.map(THREE_FLIP, function(result) {
return (SEQUENCE.match(RegExp("(?=" + result + ")", "g")) || []).length
})</var>
<var id="CHOICES">[
$._("Fair coin"),
$._("Unfair coin"),
$._("Human guesses")
]</var>
</div>
<p class="question">Which method was used to generate this sequence of heads and tails?</p>
<div class="problem">
<div style="overflow: hidden; width: 496px;">
<div id="coin-flip-sequence-charts">
<div data-each="SEQUENCE.split('') as FLIP">
<div class="coin-flip-sequence-heads" data-if="FLIP === 'H'">H</div>
<div class="coin-flip-sequence-tails" data-else="">T</div>
</div>
<div class="graphie" id="coin-flip-sequence-chart-1">
init({
range: [[0, 15], [0, 6]],
scale: [31, 54]
});
label([8, 6], "H vs T", "below", false).css({
"font-size": "16px",
"color": "#444444"
});
style({
"stroke": "#cccccc",
"stroke-width": 1
}, function() {
_(5).times(function(i) {
line([0.2, i + (54.5 / 54)], [15.8, i + (54.5 / 54)]);
});
});
_.each(ONE_FLIP, function(caption, n) {
label([8 * n + 4, 1], caption, "below", false).css({
"font-size": "13px",
"color": "#444444"
});
});
style({
fill: "#a6a6a6",
strokeWidth: 0
}, function() {
rect(2, 1, 4, ONE_FLIP_RESULT[0] / SEQUENCE.length * 5);
});
style({
fill: "#595959",
strokeWidth: 0
}, function() {
rect(10, 1, 4, ONE_FLIP_RESULT[1] / SEQUENCE.length * 5);
});
</div>
<div class="graphie" id="coin-flip-sequence-chart-2">
init({
range: [[0, 16], [0, 6]],
scale: [31, 54]
});
label([8, 6], $._("Two-flip streaks"), "below", false).css({
"font-size": "16px",
"color": "#444444"
});
style({
"stroke": "#cccccc",
"stroke-width": 1
}, function() {
_(5).times(function(i) {
line([0.2, i + (54.5 / 54)], [15.8, i + (54.5 / 54)]);
});
});
_.each(TWO_FLIP, function(caption, n) {
label([4 * n + 2, 1], caption, "below", false).css({
"font-size": "13px",
"color": "#444444"
});
});
style({
fill: "#808080",
strokeWidth: 0
}, function() {
_.each(TWO_FLIP_RESULT, function(count, n) {
rect(4 * n + 1, 1, 2, count / SEQUENCE.length * 7);
});
});
</div>
<div class="graphie" id="coin-flip-sequence-chart-3">
init({
range: [[0, 16], [0, 6]],
scale: [31, 54]
});
label([8, 6], $._("Three-flip streaks"), "below", false).css({
"font-size": "16px",
"color": "#444444"
});
style({
"stroke": "#cccccc",
"stroke-width": 1
}, function() {
_(5).times(function(i) {
line([0.2, i + (54.5 / 54)], [15.8, i + (54.5 / 54)]);
});
});
_.each(THREE_FLIP, function(caption, n) {
label([2 * n + 1, 1], caption, "below", false).css({
"font-size": "13px",
"color": "#444444"
});
});
style({
fill: "#808080",
strokeWidth: 0
}, function() {
_.each(THREE_FLIP_RESULT, function(count, n) {
rect(2 * n + 0.5, 1, 1, count / SEQUENCE.length * 9);
});
});
</div>
</div>
</div>
<p class="view-coin-flip-sequence-patterns">View patterns:
<span class="pattern-tabs">
<a href="javascript:void(0);" class="selected" id="show-flips" data-offset="0">Coin flips</a> |
<a href="javascript:void(0);" id="show-chart-1" data-offset="1">H vs T</a> |
<a href="javascript:void(0);" id="show-chart-2" data-offset="2">Two-flip streaks</a> |
<a href="javascript:void(0);" id="show-chart-3" data-offset="3">Three-flip streaks</a>
</span>
</p>
</div>
<div class="graphie" id="init">
Khan.scratchpad.disable();
$('.pattern-tabs a').on('click', function(e) {
var $el = $(e.currentTarget);
$('.pattern-tabs a').removeClass("selected");
$el.addClass("selected");
var charts = $('#coin-flip-sequence-charts');
var offset = $el.data("offset") * -1 * 496;
charts.animate({marginLeft: offset});
return false;
});
</div>
<p class="solution"><var>CHOICES[SOLUTION]</var></p>
<ul class="choices" data-category="true">
<li data-each="CHOICES as CHOICE"><var>CHOICE</var></li>
</ul>
<div class="problems">
<div id="fair">
<div class="vars" data-apply="prependVars">
<var id="SEQUENCE">
randFromArray(["H", "T"], 276).join("")
</var>
<var id="SOLUTION">0</var>
</div>
</div>
<div id="unfair">
<div class="vars" data-apply="prependVars">
<var id="SEQUENCE">
randFromArray(randFromArray([
["H", "H", "H", "T", "T"],
["H", "H", "T", "T", "T"]
]), 276).join("")
</var>
<var id="SOLUTION">1</var>
</div>
</div>
<div id="human">
<div class="vars" data-apply="prependVars">
<var id="SEQUENCE">randFromArray([
"HTHHTHTHTHTHTHHHTHTHTHTHHHHTHTTHHTHHTHTHTHTHTH" +
"HTHTHTHTHTHTHHHTHTHTHTHHTHTHTTTHHTHHTHTHHHTHHT" +
"HTHTHHHTHHTTTHHTHHTHTHTHTHTTHHHTHTHHTHHTHTHTHT" +
"HTHTHTHTHHTHTHTHHHHTTTHTHTTHTHTHHHTHTHTTTHTHHT" +
"HTTTHTHTHTHTHTHTHTHTTHTHTHTHTHHHHTTHTHTTHTHTTT" +
"HTHTHTHHTTHTHTHTHTHTHTHTHTHTHTHTHTHHTHTHTHTTHT",
"HHHTTTHTTTHTHHHHTHTTHTHTHTHHHTHTTTHTHHTHTHTHTH" +
"HHHTTTTHTHTHHTHHHHTHHTTHTHTTTTHTHTHTHHTTTHTHTH" +
"THHTTHTHTHHTHTHTHTHHTHHTHHTHHTHHTTTHTHTHTHHTHT" +
"HHHTTTTHTHHTTHTTTHTHTHHHTHTHTHTHTHTHHHTHTHTHHT" +
"HHTTTHHTHTHHTHTHTHTHTTTHTHTHHHTHHTTHTHHTHTTHHH" +
"THTHHTHHTHTHTHHTHTHHHHTHTHTHHTHHTHHTTTHHTHTHHH",
"HHHTHTTTHTHHHTHTHTHTTTTHTHHTHHHTHHTHHHTTTHHHTT" +
"HHTHHHTTTTHTHTHTTHTHHHHTHTHHTHHTHTTHTHTTHTTHHT" +
"TTHTHHHTHTHTHTHTHTTHTHHTHTHHHHTTHTHTHHTHHTHTTT" +
"THHHTHTTHHHHTTHTHHTHTHTHTHHTHTHTHHTHTHTHTTHHHH" +
"HTTHHTTHTTHTHHTTHTHTTTHTHTHTTHTHTHHHHHTTHTHTHT" +
"THTHTHHTHTHTHTHHHTHTTHTHTHTHTHHTHTHTTTTHTHHTTH"
])</var>
<var id="SOLUTION">2</var>
</div>
</div>
</div>
</div>
</body>
</html>