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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Probability - Statistics Study Guide</title>
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</style>
</head>
<body>
<header>
<h1>Probability - Statistics Study Guide</h1>
</header>
<nav>
<a href="index.html">Back to Study Guide</a>
<a href="statistics.html">Back to Statistics</a>
</nav>
<div class="container">
<h2>Understanding Probability</h2>
<p>**Probability** is a measure of the likelihood that a given event will occur. The value of probability ranges from 0 (impossible event) to 1 (certain event).</p>
<div class="step">
<i class="fas fa-calculator"></i>
<div>
<h4>Formula for Probability</h4>
<p>The probability of an event is calculated using the formula:</p>
<pre>Probability (P) = Number of favorable outcomes / Total number of possible outcomes</pre>
</div>
</div>
<h3>Example: Rolling a Die</h3>
<div class="example-box">
<p><strong>Example 1:</strong> What is the probability of rolling a 3 on a fair six-sided die?</p>
<pre>Step 1: Total number of possible outcomes = 6 (since the die has six sides).
Step 2: Number of favorable outcomes = 1 (only one side has a 3).
Step 3: Probability = 1/6 ≈ 0.167.</pre>
</div>
<h3>Example: Drawing a Card</h3>
<div class="example-box">
<p><strong>Example 2:</strong> What is the probability of drawing a heart from a standard deck of 52 cards?</p>
<pre>Step 1: Total number of possible outcomes = 52 (total number of cards).
Step 2: Number of favorable outcomes = 13 (since there are 13 hearts in a deck).
Step 3: Probability = 13/52 = 1/4 = 0.25.</pre>
</div>
<h3>Try It Yourself:</h3>
<p>Calculate the probability of drawing a king from a standard deck of 52 playing cards.</p>
<pre>Hint: There are 4 kings in the deck. Total number of cards = 52.</pre>
<p>The formula is the same as in the examples above. Try calculating the probability!</p>
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