If the papers of $4$ students can be checked by any one of $7$ teachers,then the probability that all the $4$ papers are checked by exactly $2$ teachers is (in $/49$)

The probability of getting a king and a spade card when two cards are drawn simultaneously from a pack of $52$ playing cards is

Three squares of a chessboard are chosen at random. The probability that two are of one colour and one is of another colour is:

$A$ box contains $6$ bottles of $V_1$ drink,$3$ bottles of $V_2$ drink and $4$ bottles of $V_3$ drink. If three bottles are drawn at random,then the probability that the three are not of the same variety is

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

Out of a group of $10$ people,there are $5$ lawyers,$3$ doctors,and $2$ engineers. If $4$ people are selected at random,what is the probability that at least one person from each profession is included?