MCQ
The probability of throwing a number greater than $2$ with a fair die is :
  • A
    $\frac{2}{5}$
  • B
    $\frac{5}{6}$
  • C
    $\frac{1}{3}$
  • $\frac{2}{3}$

Answer

Correct option: D.
$\frac{2}{3}$
The numbers on a fair die are $\{1, 2, 3, 4, 5\}$ and $6.$
So, there are $6$ numbers in total.
The number greater than $2$ are $3, 4, 5$ and $6.$
So, there are $4$ numbers.
$P($getting a number greater than $2)$
$=\frac{4}{6}$
$=\frac{2}{3}$

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