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A die has two faces each with number 1,three faces each with number 2 and one face with number 3.If die is rolled once,determine P(1 or 3)

$\begin{array}{1 1}(A)\;\large\frac{1}{2}\\(B)\;\large\frac{1}{4}\\(C)\;\large\frac{1}{8}\\(D)\;\large\frac{1}{6}\end{array} $

1 Answer

  • Required probability =$\large\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$
Step 1:
Given A die is rolled
$\therefore$ Total number of outcomes n(S)=6
The die has 2 faces with number 1
The die has 3 faces with number 2
The die has 1 face with number 3
Step 2:
Let E be the event of getting a number 1 or 3
$\therefore n(E)=2+1=3$
$\therefore$ Required probability =$\large\frac{n(E)}{n(S)}$
$\Rightarrow \large\frac{3}{6}$
$\Rightarrow \large\frac{1}{2}$
Hence (A) is the correct answer.
answered Jul 2, 2014 by sreemathi.v

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