$A$ box contains $6$ white and $8$ red balls. Two balls are drawn at random in succession. What is the probability that one of them is white and the other red?

$A$ and $B$ throw a coin alternately till $1$ of them gets a head and wins the game. If $A$ starts the game,find the probability of $A$ winning.

From a pack of $52$ cards,two are drawn with replacement. The probability that the first is a diamond and the second is a king is:

$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's is $\frac{1}{5}$. What is the probability that both of them will be selected?

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $2$ marbles are drawn at random,what is the probability that both are red or at least $1$ is red?

In a box,there are $2$ red,$3$ black,and $4$ white balls. If three balls are drawn together,what is the probability that the balls drawn are of the same colour?