$\begin{array}{1 1}(A)\;\large\frac{1}{6}\\(B)\;\large\frac{5}{6}\\(C)\;\large\frac{3}{5}\\(D)\;\large\frac{1}{2}\end{array} $

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- The formula used to calculate is Probability $P=\large\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{n(E)}{n(S)}$

Step 1:

Given a die is thrown

$\therefore$ The sample space S={1,2,3,4,5,6}

Let E be the event the number less than 6 will appear.

$E=\{1,2,3,4,5\}$

Probability =$\large\frac{n(E)}{n(S)}$

$\Rightarrow \large\frac{5}{6}$

Hence (B) is the correct answer.

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