//
// Button groups
// --------------------------------------------------

// Make the div behave like a button
.btn-group,
.btn-group-vertical {
  position: relative;
  display: inline-block;
  vertical-align: middle; // match .btn alignment given font-size hack above
  > .btn {
    position: relative;
    float: left;
    // Bring the "active" button to the front
    &:hover,
    &:focus,
    &:active,
    &.active {
      z-index: 2;
    }
    &:focus {
      // Remove focus outline when dropdown JS adds it after closing the menu
      outline: 0;
    }
  }
}

// Prevent double borders when buttons are next to each other
.btn-group {
  .btn + .btn,
  .btn + .btn-group,
  .btn-group + .btn,
  .btn-group + .btn-group {
    margin-left: -1px;
  }
}

// Optional: Group multiple button groups together for a toolbar
.btn-toolbar {
  margin-left: -5px; // Offset the first child's margin
  &:extend(.clearfix all);

  .btn-group,
  .input-group {
    float: left;
  }
  > .btn,
  > .btn-group,
  > .input-group {
    margin-left: 5px;
  }
}

.btn-group > .btn:not(:first-child):not(:last-child):not(.dropdown-toggle) {
  border-radius: 0;
}

// Set corners individual because sometimes a single button can be in a .btn-group and we need :first-child and :last-child to both match
.btn-group > .btn:first-child {
  margin-left: 0;
  &:not(:last-child):not(.dropdown-toggle) {
    .border-right-radius(0);
  }
}
// Need .dropdown-toggle since :last-child doesn't apply given a .dropdown-menu immediately after it
.btn-group > .btn:last-child:not(:first-child),
.btn-group > .dropdown-toggle:not(:first-child) {
  .border-left-radius(0);
}

// Custom edits for including btn-groups within btn-groups (useful for including dropdown buttons within a btn-group)
.btn-group > .btn-group {
  float: left;
}
.btn-group > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group > .btn-group:first-child {
  > .btn:last-child,
  > .dropdown-toggle {
    .border-right-radius(0);
  }
}
.btn-group > .btn-group:last-child > .btn:first-child {
  .border-left-radius(0);
}

// On active and open, don't show outline
.btn-group .dropdown-toggle:active,
.btn-group.open .dropdown-toggle {
  outline: 0;
}


// Sizing
//
// Remix the default button sizing classes into new ones for easier manipulation.

.btn-group-xs > .btn { &:extend(.btn-xs); }
.btn-group-sm > .btn { &:extend(.btn-sm); }
.btn-group-lg > .btn { &:extend(.btn-lg); }


// Split button dropdowns
// ----------------------

// Give the line between buttons some depth
.btn-group > .btn + .dropdown-toggle {
  padding-left: 8px;
  padding-right: 8px;
}
.btn-group > .btn-lg + .dropdown-toggle {
  padding-left: 12px;
  padding-right: 12px;
}

// The clickable button for toggling the menu
// Remove the gradient and set the same inset shadow as the :active state
.btn-group.open .dropdown-toggle {
  .box-shadow(inset 0 3px 5px rgba(0,0,0,.125));

  // Show no shadow for `.btn-link` since it has no other button styles.
  &.btn-link {
    .box-shadow(none);
  }
}


// Reposition the caret
.btn .caret {
  margin-left: 0;
}
// Carets in other button sizes
.btn-lg .caret {
  border-width: @caret-width-large @caret-width-large 0;
  border-bottom-width: 0;
}
// Upside down carets for .dropup
.dropup .btn-lg .caret {
  border-width: 0 @caret-width-large @caret-width-large;
}


// Vertical button groups
// ----------------------

.btn-group-vertical {
  > .btn,
  > .btn-group,
  > .btn-group > .btn {
    display: block;
    float: none;
    width: 100%;
    max-width: 100%;
  }

  // Clear floats so dropdown menus can be properly placed
  > .btn-group {
    &:extend(.clearfix all);
    > .btn {
      float: none;
    }
  }

  > .btn + .btn,
  > .btn + .btn-group,
  > .btn-group + .btn,
  > .btn-group + .btn-group {
    margin-top: -1px;
    margin-left: 0;
  }
}

.btn-group-vertical > .btn {
  &:not(:first-child):not(:last-child) {
    border-radius: 0;
  }
  &:first-child:not(:last-child) {
    border-top-right-radius: @border-radius-base;
    .border-bottom-radius(0);
  }
  &:last-child:not(:first-child) {
    border-bottom-left-radius: @border-radius-base;
    .border-top-radius(0);
  }
}
.btn-group-vertical > .btn-group:not(:first-child):not(:last-child) > .btn {
  border-radius: 0;
}
.btn-group-vertical > .btn-group:first-child:not(:last-child) {
  > .btn:last-child,
  > .dropdown-toggle {
    .border-bottom-radius(0);
  }
}
.btn-group-vertical > .btn-group:last-child:not(:first-child) > .btn:first-child {
  .border-top-radius(0);
}



// Justified button groups
// ----------------------

.btn-group-justified {
  display: table;
  width: 100%;
  table-layout: fixed;
  border-collapse: separate;
  > .btn,
  > .btn-group {
    float: none;
    display: table-cell;
    width: 1%;
  }
  > .btn-group .btn {
    width: 100%;
  }

  > .btn-group .dropdown-menu {
    left: auto;
  }
}


// Checkbox and radio options
//
// In order to support the browser's form validation feedback, powered by the
// `required` attribute, we have to "hide" the inputs via `opacity`. We cannot
// use `display: none;` or `visibility: hidden;` as that also hides the popover.
// This way, we ensure a DOM element is visible to position the popover from.
//
// See https://github.com/twbs/bootstrap/pull/12794 for more.

[data-toggle="buttons"] > .btn > input[type="radio"],
[data-toggle="buttons"] > .btn > input[type="checkbox"] {
  position: absolute;
  z-index: -1;
  .opacity(0);
}
.elementor-animation-grow-rotate {
	transition-duration: 0.3s;
	transition-property: transform;
}
.elementor-animation-grow-rotate:active,
.elementor-animation-grow-rotate:focus,
.elementor-animation-grow-rotate:hover {
	transform: scale(1.1) rotate(4deg);
}
{"id":86299,"date":"2023-11-27T14:25:34","date_gmt":"2023-11-27T13:25:34","guid":{"rendered":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/?p=86299"},"modified":"2026-04-19T18:23:21","modified_gmt":"2026-04-19T16:23:21","slug":"the-mathematics-behind-kasyno-game-outcomes","status":"publish","type":"post","link":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/2023\/11\/27\/the-mathematics-behind-kasyno-game-outcomes\/","title":{"rendered":"The Mathematics Behind Kasyno Game Outcomes"},"content":{"rendered":"<p>Understanding the mathematics behind kasyno game outcomes is essential for both players and industry experts. Every kasyno game is designed with a built-in mathematical framework that determines the probability of winning and losing. This framework ensures that while the games are entertaining and engaging, the house always maintains a statistical advantage. The complex probabilities and algorithms at play influence game fairness and player experience, making the mathematics behind kasyno outcomes a fascinating study.<\/p>\n<p>At its core, the mathematics of kasyno games revolves around random number generation and probability theory. Each game uses algorithms to simulate randomness and ensure unpredictable results, which is crucial for maintaining trust and excitement among players. The concept of \u201chouse edge\u201d reflects the mathematical advantage the kasyno has over players, varying from game to game. Calculating this edge involves understanding odds, payout rates, and variance, which collectively define how frequently and how much a player can expect to win or lose over time.<\/p>\n<p>One prominent figure in the iGaming world, known for his contributions to game development and analytics, is <a href=\"https:\/\/twitter.com\/rafalczarnecki\">Rafal Czarnecki<\/a>. His expertise in applying advanced statistical methods and machine learning to kasyno game design has revolutionized how outcomes are analyzed and optimized. Rafal&#8217;s work highlights the critical role of mathematics in enhancing both fairness and profitability within the industry. For more insights into the evolving iGaming sector, recent coverage by <a href=\"https:\/\/www.nytimes.com\/2023\/11\/15\/technology\/online-gambling-growth.html\">The New York Times<\/a> provides an in-depth look at the growth and regulation of online gambling platforms, shedding light on emerging trends and challenges. Additionally, enthusiasts looking to experience mathematically balanced kasyno games can explore <a href=\"https:\/\/spinline-nz.com\">Spinline Casino<\/a>, which offers a diverse selection of games rigorously tested for fairness.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Understanding the mathematics behind kasyno game outcomes is essential for both players and industry experts. Every kasyno game is designed [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[3174],"tags":[],"class_list":["post-86299","post","type-post","status-publish","format-standard","hentry","category-eng-apr-3b"],"_links":{"self":[{"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/posts\/86299","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/comments?post=86299"}],"version-history":[{"count":1,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/posts\/86299\/revisions"}],"predecessor-version":[{"id":86300,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/posts\/86299\/revisions\/86300"}],"wp:attachment":[{"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/media?parent=86299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/categories?post=86299"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.solucionessmart.com.uy\/smartporteria\/wp-json\/wp\/v2\/tags?post=86299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}