The probability of getting a number greater than by throwing a fair dice is:

Foundation

Mathematics Foundation

Definition of Probability

Question

The probability of getting a number greater than $2$ by throwing a fair dice is:

$1$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{1}{3}$

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S = {1, 2, 3, 4, 5, 6}
$n (S) = 6$
$E =$ event of getting a number greater than $2$ .
$∴$ E = {3, 4, 5, 6} $\Rightarrow$ $n (E) = 4$
Required prob $= P (E) =$ $\frac{n (E)}{n (S)} = \frac{4}{6} = \frac{2}{3}$