Two dice are thrown three times. What is the probability that the first throw shows $10$,the second throw shows $11$,and the third throw shows $12$?

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability of getting a two of hearts or diamonds is

Two brothers $X$ and $Y$ appeared for an exam. Let $A$ be the event that $X$ has passed the exam and $B$ is the event that $Y$ has passed. The probability of $A$ is $\frac{1}{7}$ and of $B$ is $\frac{2}{9}$. Then,the probability that both of them pass the exam is

One card is drawn at random from a pack of $52$ playing cards. The probability that it is an ace,a black king,or the queen of hearts is:

Four coins are tossed. The probability that at least one head turns up is:

The vertices of a regular tetrahedron are marked $1, 2, 3, 4$. If three such tetrahedra are thrown simultaneously,what is the probability that the sum of the numbers on the faces is $5$?