$A$ die is rolled,find the probability that an even number is obtained.

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

$A$ bag contains $13$ red,$14$ green,and $15$ black balls. The probability of getting exactly $2$ black balls when pulling out $4$ balls is ${P_1}$. Now,the number of balls of each color is doubled,and $8$ balls are pulled out. The probability of getting exactly $4$ black balls is ${P_2}$. Then:

From a book containing $100$ pages,one page is selected randomly. The probability that the sum of the digits of the page number of the selected page is $11$,is

One card is drawn from each of two ordinary packs of $52$ cards. The probability that at least one of them is an ace of heart,is

In a lottery,there were $90$ tickets numbered $1$ to $90$. Five tickets were drawn at random. What is the probability that two of the tickets drawn are numbered $15$ and $89$?