Fifteen persons,including $A$ and $B$,sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$ is

$A$ bag contains $3$ red,$4$ white,and $5$ black balls. Three balls are drawn at random. The probability that they are of different colours is

Four cards are drawn one by one from a well-shuffled pack of $52$ cards. What is the probability that all four cards belong to the same suit?

Three numbers are chosen from $1$ to $30$. The probability that they are not three consecutive numbers is

$A$ company representative is distributing $5$ identical samples of a product among $12$ houses in a row such that each house gets at most one sample. The probability that no two consecutive houses get one sample is

$A$ bag contains $3$ red,$4$ white,and $5$ black balls. If three balls are drawn at random,what is the probability that they are of different colors?