If the letters of the word $SUCCESS$ are rearranged,what is the probability that all identical letters come together (in $/35$)?

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

Three integers are chosen at random from the first $20$ integers. The probability that their product is even,is

Let $\omega$ be a complex cube root of unity with $\omega \neq 1$. $A$ fair die is thrown three times. If $r_1, r_2,$ and $r_3$ are the numbers obtained on the die,what is the probability that $\omega^{r_1} + \omega^{r_2} + \omega^{r_3} = 0$?

Given that a throw of three unbiased dice shows different faces,what is the probability that their total is eight?

Six cards are drawn simultaneously from a pack of playing cards. What is the probability that $3$ will be red and $3$ will be black?