Two dice are thrown. The probability that the sum of numbers appearing is more than $10$ is:

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is a black card.

Two dice are thrown simultaneously. The probability of obtaining a total score of $5$ is

When two dice are thrown simultaneously,what is the probability that the sum of the numbers on the top faces is $5$?

When two dice are thrown simultaneously,find the probability of the following:
$(1)$ The numbers are the same.
$(2)$ The difference between the numbers is $1$.

Two friends $A$ and $B$ apply for a job in the same company. The probability of $A$ getting selected is $\frac{2}{5}$ and that of $B$ is $\frac{4}{7}$. Then the probability that one of them is selected is: