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

If two cards are drawn at random simultaneously from a well-shuffled pack of $52$ playing cards,then the probability of getting a card having a composite number and a card having a number which is a multiple of $3$ is

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

If three cards are drawn randomly from a pack of $52$ playing cards,then the probability of getting exactly one spade card,exactly one king,and exactly one card having a prime number is

Let $A$ and $B$ be two finite sets having $m$ and $n$ elements respectively such that $m \le n.$ $A$ mapping is selected at random from the set of all mappings from $A$ to $B$. The probability that the mapping selected is an injection is

Three numbers are chosen at random without replacement from $\{1, 2, \ldots, 10\}$. The probability that the minimum of the chosen numbers is $3$ or their maximum is $7$ is: