Question
Three dice are thrown simultaneously. What is the probability of getting 15 as the sum?

Answer

Three dice are thrown $\therefore\text{n}(\text{S})=6^3=216$ A be the event of getting sum as 15 $\therefore\text{A}=\begin{bmatrix}(3,\ 6,\ 6),\ (4,\ 6,\ 5),\ (5,\ 6,\ 4),\ (6,\ 6,\ 3),\ (6,\ 3,\ 6),\ (6,\ 4,\ 5)\$6,\ 5,\ 4),\ (4,\ 5,\ 6),\ (5,\ 5,\ 5),\ (5,\ 4,\ 6),\ (5,\ 5,\ 5),\ (5,\ 5,\ 5)\end{bmatrix}$ $\therefore\text{p}(\text{A})=\frac{13}{216}$

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