Q46 / 120 · JEE Main 2007 · Mathematics

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is

A
$1 / 729$
B
$8 / 9$
C
$8 / 729$
Correct answer
D
$8 / 243$

Solution

Probability of getting score $9$ in a single throw $=\frac{4}{36}=\frac{1}{9}$ Probability of getting score $9$ exactly twice $={ }^3 \mathrm{C}_2 \times\left(\frac{1}{9}\right)^2 \times \frac{8}{9}=\frac{8}{243}$.

Hence, the correct answer is option: 'D'.

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