Three cards are drawn successively, without replacement from a pack of $52$ well-shuffled cards. The probability that the first two cards are kings and the third card drawn is an ace is $\dots \dots \dots$

$A$ bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. $A$ bag and a ball out of it are picked at random. The probability that the ball is white,is

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:

$A$ purse contains $4$ copper coins and $3$ silver coins. $A$ second purse contains $6$ copper coins and $4$ silver coins. $A$ purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin?

An urn contains $4$ red and $5$ white balls. Two balls are drawn one after the other without replacement,then the probability that both the balls are red is

Three groups $A, B, C$ are competing for positions on the Board of Directors of a company. The probabilities of their winning are $0.5, 0.3, 0.2$ respectively. If group $A$ wins,the probability of introducing a new product is $0.7$,and the corresponding probabilities for groups $B$ and $C$ are $0.6$ and $0.5$ respectively. The probability that the new product will be introduced is: