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# A die is thrown,find the probability of following event : A prime number will appear.

$\begin{array}{1 1}(A)\;\large\frac{1}{3}\\(B)\;\large\frac{1}{2}\\(C)\;\large\frac{1}{5}\\(D)\;\text{None of these}\end{array}$

Toolbox:
• 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 a prime number will appear
$\therefore$ E={2,3,5}
Step 2:
Probability of getting prime number =$\large\frac{n(E)}{n(S)}=\frac{3}{6}=\frac{1}{2}$
Hence (B) is the correct answer.