Two cards are drawn one by one at random from a pack of $52$ cards. The probability that both of them are king,is

Two events $A$ and $B$ will be independent if

Two urns identical in appearance contain respectively $3$ green and $2$ black balls and $2$ green and $5$ black balls. One urn is selected at random and a ball is drawn from it. The probability that it is black is

$A$ basket contains $5$ apples and $7$ oranges and another basket contains $4$ apples and $8$ oranges. If one fruit is picked out at random from each basket,then the probability of getting one apple and one orange is

In a classroom,$5 \%$ of the boys and $2 \%$ of the girls are taller than $1.6 \ m$. The class consists of $60 \%$ girl students. The probability that a randomly selected student is taller than $1.6 \ m$ 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: