A three digit number is formed by using numbers $1, 2, 3$ and $4$. The probability that the number is divisible by $3$, is
$\frac{2}{3}$
$\frac{2}{7}$
$\frac{1}{2}$
$\frac{3}{4}$
Six boys and six girls sit in a row randomly. The probability that the six girls sit together
Two numbers are selected randomly from the set $S = \{ 1,\,2,\,3,\,4,\,5,\,6\} $ without replacement one by one. The probability that minimum of the two numbers is less than $4$ is
The letter of the word `$ASSASSIN$' are written down at random in a row. The probability that no two $S$ occur together is
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly $9$ twice is
A basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges