What is the probability that when one die is thrown,the number appearing on top is even?

One card is drawn from a well-shuffled deck of $52$ cards. If each outcome is equally likely,calculate the probability that the card will not be a diamond.

There are $3$ families,each having $1$ boy and $1$ girl. If one child is selected from each family,what are the elements of the event that only girls are selected?

The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is

Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.

$A$ die is rolled. Let $E$ be the event "die shows $4$" and $F$ be the event "die shows an even number". Are $E$ and $F$ mutually exclusive?