Describe the sample space for the indicated experiment: $A$ coin is tossed and a die is thrown.

In a single throw of two dice,the probability of getting a sum of more than $7$ is

If $P(A) = \frac{1}{2}$,$P(B) = \frac{1}{3}$ and $P(A \cap B) = \frac{1}{4}$,then the value of $P(A' \cap B')$ is

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

$A$ die has two faces each with number $1$,three faces each with number $2$,and one face with number $3$. If the die is rolled once,then $P(1 \text{ or } 3)$ is

Each of the two boxes $A$ and $B$ contain $10$ chits numbered $1$ to $10$. If one chit is drawn at random from each of $A$ and $B$,then the probability that the number on the chit drawn from $A$ is smaller than the number on the chit drawn from $B$,is