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The probability of getting a multiple of \(2\) when a dice is rolled is ( )
A. \(\frac {1}{6}\)
B. \(\frac {1}{3}\)
C. \(\frac {1}{2}\)
D. \(\frac {2}{3}\)
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Question

The probability of getting a multiple of \(2\) when a dice is rolled is ( )
A. \(\frac {1}{6}\)
B. \(\frac {1}{3}\)
C. \(\frac {1}{2}\)
D. \(\frac {2}{3}\)

Answer

C
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Solution

The total outcomes of dice are \(1,2,3,4,5,6\).
And, \(2,4\) and \(6\) are multiple of \(2\).
So, favourable cases \(=3\).
\(\therefore\) \(\text{Probability}=\frac{\text{Number}\ \text{of}\ \text{favourable}\ \text{cases}}{\text{Total}\ \text{cases}}\)
\(=\frac{3}{6}\)
\(=\frac{1}{2}\)
Hence, option \((C)\) is correct.
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