P(2) = 6 \times \frac{1}{36} \times \frac{25}{36} = \frac{150}{1296} = \frac{25}{216}

Fri, 01 May 2026 03:56:36 +0000

Understanding the Probability Model: Why P(2) = 6 × (1/36) × (25/36) = 25/216 Probability is a fundamental concept in mathematics and statistics, enabling us to quantify uncertainty with precision. A fascinating example involves calculating a specific probability \\( P(2) \\) by combining multiple independent events—a process commonly encountered in chance scenarios such as coin flips, dice rolls, or sample selections. In this article, we explore the precise calculation behind \\( P(2) = 6 \\ imes \frac{1}{36} \\ imes \frac{25}{36} = \frac{25}{216} \\), breaking down the reasoning step by step, and explaining its broader significance in probability theory. ---