Two dice are thrown. The probability that the sum of the points on two dice will be $7$ 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 $89$?

One card is drawn from a well-shuffled deck of $52$ cards. Calculate the probability that the card will not be a black card.

$A$ and $B$ are two independent events such that $P(A) = 1/2$ and $P(B) = 1/3$. Then $P$ (neither $A$ nor $B$) is equal to

The probabilities of a student getting $I, II$ and $III$ division in an examination are respectively $\frac{1}{10}, \frac{3}{5}$ and $\frac{1}{4}$. The probability that the student fails in the examination is

$10$ coins are tossed. What is the probability that exactly $5$ heads appear?